Introduction to Fractions
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About these worksheets
These worksheets introduce the concept of fractions from the ground up. Activities include naming fractions from words and pictures, writing fractions from visual models, identifying correct fraction representations, partitioning shapes into equal parts, determining whether fractions equal zero, one-half, or one whole, examining fraction values between whole numbers, comparing relative fraction sizes, finding reciprocals, and expressing fractions in words and numbers. Resources span first through fifth grade.
1g3
- Match a written fraction name (like “three fourths”) to the correct fraction.
- Use the denominator to tell how many equal parts the whole is split into.
- Use the numerator to tell how many parts are being counted.
2g3
- Read a fraction and say its name using the right word for the denominator (like halves, thirds, or fourths).
- Match a written fraction name to the correct fraction.
- Use the denominator to tell how many equal parts the whole is split into.
- Use the numerator to tell how many parts are being counted.
3nf1
- Look at a picture model and write the fraction it shows.
- Identify the numerator and denominator in a fraction.
- Match a shaded part of a whole to the correct fraction notation.
3nf1
- Match a written fraction to a picture that shows the same amount shaded.
- Tell how many equal parts the whole is split into and how many parts are shaded.
- Notice when pictures show different-sized parts and choose only models with equal parts.
3g2
- Split a shape into equal-size parts and explain that each part is the same area.
- Spot when parts are not equal and know that they do not make fair fractions.
3g2
- Decide whether a shape has been split into equal-size parts.
- Tell the difference between equal partitions and uneven partitions in pictures.
- Connect a partitioned shape to the idea of a fraction as equal parts of one whole.
- Explain why a partition is not correct when the pieces are different sizes.
3nf3d
- Decide whether a fraction is equal to 0, 1/2, or 1.
- Use the numerator and denominator to tell when a fraction means none, half, or a whole.
5nf3
- Decide which two whole numbers a fraction falls between.
- Convert an improper fraction to a mixed number fraction to identify the value with whole numbers.
4nf2
- Understand that the size a fraction represents, depends on the items it is comparing.
3nf1
- Explain a fraction as “part of a whole set,” using the numerator as the count shown and the denominator as the total.
- Find the reciprocal of a fraction by swapping the numerator and denominator.
- Use reciprocals to make a multiplication equation equal 1.
- Recognize that a number and its reciprocal are multiplicative inverses.
4nf3c
- Find the missing fraction that completes a whole when one part is given.
- Add fractions with the same denominator to make a total of 1.
3nf1
- Write the shaded part of a picture as a fraction using a numerator and denominator.
- Count equal parts in a shape to figure out the denominator.
- Count shaded parts to figure out the numerator.
- Match a visual fraction model to the correct numeric fraction notation.
- Read a fraction and say it using the correct words.
- Write a fraction in word form using the right spelling for the denominator (like thirds, fourths, fifths).
- Match the numerator to the correct counting word (one, two, three, etc.) when writing fractions.
- Use singular and plural fraction words correctly (like one half vs. two thirds).
- Choose which fractions have a given number as the numerator
- Choose which fractions have a given number as the denominator
- Tell the difference between the numerator and the denominator of a fraction
- Notice that a question can have more than one correct answer
- Read a fraction written with symbols.
- Write the numerator and denominator using correct fraction words.
- Use singular and plural fraction names correctly.
- Identify the numerator and denominator in a fraction.
- Read a fraction written in words.
- Write the numerator and denominator in the correct positions.
- Use a fraction bar to write a fraction symbol.
- Connect fraction vocabulary to fraction symbols.
3nf1
- Shade a given number of equal parts on a fraction bar
- Count the equal parts in the whole to find the denominator
- Write the fraction that is shaded, such as 3/8 or 5/10
- Understand that the numerator counts the shaded parts while the denominator counts every part
3nf1
- Shade the correct number of parts on a bar to match a fraction
- Understand that the bottom number tells how many equal parts the whole is split into
- Understand that the top number tells how many parts to color
- Connect a written fraction to its picture
3nf1
- Name the fraction of a whole that is left after some equal pieces are removed
- Count the missing pieces in a picture to name the fraction that was eaten
- Use the total number of equal pieces as the denominator
- Recognize the same fraction idea in round wholes and in rectangular wholes
3nf1
- Read a shaded diagram and figure out what fraction it shows
- Match a picture of a fraction to the correct fraction equation
- Understand that the top number counts shaded parts and the bottom number counts total parts
- Compare several fractions to find the one that fits the picture
3nf1
- Practice adding fractions that share the same denominator
- Understand how parts combine to make a whole
- Read word problems and figure out which fractions to add
- Recognize when combined parts equal one whole
5nbt3a
- Work out what each base ten block is worth once one of them is named the whole
- Write the value of a set of blocks as a fraction
- Use a denominator of tenths, hundredths or thousandths depending on the smallest block shown
- See how the same block changes value when a different block is the whole
4nf1
- Find an equivalent fraction with a denominator of 100
- Match a fraction to an area model
- Recognize that two fifths and forty hundredths are the same amount
- Tell the numerator of a fraction from the number of parts shaded
4nf1
- Find an equivalent fraction with a denominator of 100
- Shade a given fraction of an area model
- Work out how many of a hundred squares a fraction is
- Understand that the same amount can be shaded in more than one arrangement
5nbt3a
- Read a fraction from a point on a number line.
- Write the equivalent decimal for that point.
- Recognize a number line as a model for a fraction.
5nbt3a
- Recognize the same fraction in two different models.
- Match a bar model to a number line.
- Compare fractions with different denominators.
Fraction Location on a Numberline
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About these worksheets
Students practice placing fractions on a number line, a key skill for understanding fraction size and order. Worksheets cover locating fractions between 0 and 1, partitioning and labeling number lines, placing fractions between whole numbers, and working with positive and negative fractions on a number line. Aligned with third through sixth grade standards.
3nf2a
- Find where a fraction belongs between 0 and 1 on a number line.
- Use the denominator to see how many equal parts the whole is split into on the number line.
- Use the numerator to count how many parts to move from 0 to reach the fraction.
- Use benchmarks like 0, 1/2, and 1 to decide if a fraction is closer to the start, middle, or end.
3nf2b
- Find where a fraction belongs on a number line between 0 and 1.
- Use the denominator to see how many equal parts the whole is split into on the number line.
- Use the numerator to count how many parts from 0 to reach the fraction’s point.
- Recognize benchmark points like 0, 1/2, and 1 to help place and compare fractions.
3nf2b
- Name the fraction shown by a point on a number line.
- Use 0, one half and 1 as benchmarks to read a position.
- Count equal parts between 0 and 1 to find a denominator.
3nf2b
- Decide roughly where a fraction falls using 0, one half and 1 as benchmarks.
- Choose the point on a number line that best shows a given fraction.
- Judge whether a fraction is less than, near, or more than one half.
3nf2a
- Break a whole number line segment into equal parts based on the denominator.
- Use the tick marks to label unit fractions like 1/4 or 1/6.
- Match the numerator and denominator to the correct point on a number line.
6ns6c
- Practice placing positive and negative fractions in the right spot on a number line.
- Learn to tell whether a fraction belongs to the left or right of 0.
- Use the spacing between tick marks to match a fraction to its correct location.
3nf3c
- Find where a fraction belongs between two whole numbers on a number line.
- Use the denominator to split a number line segment into equal parts.
- Match a fraction to the correct tick mark by counting equal jumps from 0 or from a whole number.
- Explain why a fraction is closer to 0, 1, or another whole number based on its size.
- Practice finding where an improper fraction belongs on a number line.
- Break an improper fraction into whole numbers and a leftover fraction to see which two whole numbers it falls between.
- Use the denominator to count equal parts between whole numbers on the number line.
3nf3d
- Locate a given fraction on a number line divided into equal parts
- Mark a fraction that is greater than a given fraction
- Mark a fraction that is less than a given fraction
- Recognize that a comparison question can have more than one correct answer
5nf2
- Round a fraction to 0, one half or 1.
- Estimate a sum of two fractions.
- Estimate a difference of two fractions.
5nf2
- Judge whether a fraction sum is reasonable.
- Use benchmarks to estimate before checking.
- Recognize the error of adding numerators and denominators.
5nf2
- Round a mixed number to the nearest whole number.
- Estimate a sum of two mixed numbers.
- Estimate a difference of two mixed numbers.
Adding & Subtracting Fractions
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About these worksheets
These worksheets provide comprehensive practice with fraction addition and subtraction. Topics include adding and subtracting with same and different denominators, working with mixed numbers and improper fractions, using visual models, regrouping when subtracting mixed numbers, adding tenths and hundredths, and solving fraction word problems. Resources span fourth through fifth grade and beyond.
4nf3c
- Add mixed numbers by combining the whole-number parts and the fraction parts.
- Use pictures or fraction models to see what the fractions add up to.
4nf3c
- Subtract mixed fractions to find the difference between two amounts.
- Use fraction pictures to see how the wholes and parts change when you subtract.
4nf3c
- Add mixed numbers when the fractions have the same denominator.
- Subtract mixed numbers when the fractions have the same denominator.
- Regroup when subtracting by borrowing 1 whole and turning it into fractional parts.
4nf3c
- Add improper fractions when the bottom number is the same.
- Subtract improper fractions when the bottom number is the same.
- Rename an improper fraction as a mixed number after you add or subtract.
- Simplify the final answer when the fraction can be reduced.
4nf3c
- Subtract mixed numbers when the fraction part is too small and you need to borrow 1 whole to keep subtracting.
4nf3d
- Add fractions that already have the same denominator.
- Subtract fractions that already have the same denominator.
- Read a word problem and decide whether to add or subtract the fractions.
4nf5
- Add a fraction with tenths to a fraction with hundredths and write the correct sum.
4nf3b
- Add two or more fractions that have the same denominator.
- Use fraction pictures to see how parts combine to make a total.
- Match a visual model to the correct fraction value.
4nf3a
- Add two fractions by combining their parts to make a total amount.
- Use pictures or fraction models to see what each fraction means before adding.
4nf3c
- Add two fractions to find the total amount.
- Add fractions with the same denominator.
- Match a fraction sum to the correct picture model.
5nf1
- Add fractions that have different denominators by rewriting them as equivalent fractions with a common denominator.
- Subtract fractions that have different denominators by using a common denominator first.
- Use visual fraction models to see how two unlike fractions combine or how much is left after subtracting.
5nf1
- Add fractions that have different denominators.
- Subtract fractions that have different denominators.
- Find a common denominator so the fractions can be combined.
- Rewrite fractions as equivalent fractions and simplify the final answer when possible.
5nf2
- Subtract fractions that have different denominators by finding a common denominator first.
- Read word problems and decide whether to add or subtract fractions to answer the question.
- Simplify answers when possible and write them as a fraction or mixed number.
5nf1
- Add more than 2 fractions to find a total amount.
- Add fractions with the same denominator by combining the numerators.
- Add fractions with different denominators by rewriting them with a common denominator first.
4nf3b
- Add fractions that already have the same denominator.
- Subtract fractions that already have the same denominator.
- Keep the denominator the same and add or subtract only the numerators.
- Simplify answers when the fraction can be reduced.
5nf1
- Add fractions that have different denominators by rewriting them as equivalent fractions with a common denominator.
- Subtract fractions that have different denominators by finding a common denominator first.
- Use the least common multiple to choose an efficient common denominator.
4nf3b
- Add unit fractions that already have the same denominator.
5nf2
- Estimate a sum or difference of mixed numbers.
- Choose the amount closest to an answer.
- Judge the size of a fraction answer without calculating.
5nf1
- Add fractions using a number line.
- Rename fractions with a common denominator using a model.
- Count fractional parts to find a sum.
5nf1
- Subtract fractions using a number line.
- Rename fractions with a common denominator using a model.
- Count backward along a number line to find a difference.
5nf1
- Add fractions using fraction strips.
- Rename fractions with a common denominator using a model.
- Compare fractional lengths drawn on equal wholes.
5nf1
- Subtract fractions using fraction strips.
- Rename fractions with a common denominator using a model.
- Compare fractional lengths drawn on equal wholes.
5nf1
- Add mixed numbers using a bar model.
- Regroup a fraction sum greater than one whole.
- Rename fractions with a common denominator using a model.
5nf15nf2
- Add fractions using a tape diagram.
- Rename fractions with a common denominator using a model.
- Solve a word problem about parts of one whole.
5nf15nf2
- Subtract fractions using a tape diagram.
- Rename fractions with a common denominator using a model.
- Solve a word problem about part of a part.
5nf1
- Add mixed numbers by counting on.
- Choose useful jumps on an open number line.
- Use a number line marked in the common denominator.
5nf1
- Subtract mixed numbers by counting back.
- Choose useful jumps on an open number line.
- Use a number line marked in the common denominator.
5nf1
- Find the sum of shaded parts shown in two models.
- Rename halves and thirds as sixths using a picture.
- Add mixed numbers with unlike denominators.
5nf1
- Find the difference of shaded parts shown in two models.
- Regroup a whole into parts to subtract.
- Subtract mixed numbers with unlike denominators.
5nf1
- Add fractions with unlike denominators.
- Subtract fractions with unlike denominators.
- Write a fraction answer in lowest terms.
5nf1
- Add mixed numbers with unlike denominators.
- Subtract mixed numbers with unlike denominators.
- Regroup when the fraction parts do not fit.
Multiplying & Dividing Fractions
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About these worksheets
Students build fluency with fraction multiplication and division through a wide range of activities. Worksheets cover multiplying fractions by whole numbers and by other fractions, using visual models and number lines, estimating fraction products, cross-cancelling, dividing unit fractions, interpreting fractions as division, distributing fractional amounts, and solving word problems. Topics span fourth through sixth grade Common Core standards.
About these worksheets
These worksheets develop fraction comparison skills using multiple strategies. Students compare fractions with same numerators or denominators, compare fractions with different denominators using common denominators, determine whether fractions are greater than, less than, or equal to one-half, order sets of fractions, and use visual models for comparison. Resources span third through fourth grade.
3nf3d
- Compare two fractions and decide which one is greater, less, or if they are equal.
- Fill in the missing fraction to make a comparison statement true.
- Use fraction models or number lines to compare fractions by their size.
- Compare fractions with different denominators by thinking about equivalent fractions or common denominators.
3nf1
- Match a shaded picture or model to the fraction it shows.
- Count equal parts to figure out the denominator and count shaded parts to figure out the numerator.
- Recognize the same fraction shown with different shapes or layouts (like bars, circles, or grids).
3nf3d
- Decide which of two fractions is greater, less, or if they are equal.
- Use fraction pictures or models to compare the size of two fractions.
- Identify the numeric value of a visual fraction model.
- Count equal parts to figure out the denominator and count shaded parts to figure out the numerator.
3nf3d
- Put a set of fractions in order from least to greatest.
- Compare two fractions to decide which one is larger or smaller.
- Use benchmark fractions like 0, 1/2, and 1 to judge fraction size.
3nf3d
- Compare two fractions when the denominators are the same by looking at which numerator is bigger.
- Compare two fractions when the numerators are the same by deciding which denominator makes bigger pieces.
- Use the symbols >, <, and = to show which fraction is larger, smaller, or if they are equal.
3nf3b
- Decide which of two fractions is greater, less, or if they are equal by looking at pictures or models.
3nf3d4nf2
- Use a fraction model to decide which of two fractions is greater or less.
- Read the question carefully, since some ask for greater and some for less.
- Compare fractions with different denominators using a picture rather than a rule.
4nf2
- Compare two fractions that have different denominators and decide which one is greater or less.
- Use equivalent fractions (common denominators) to make unlike fractions easier to compare.
4nf2
- Decide whether a fraction is less than, equal to, or greater than one half.
- Use the numerator and denominator to tell if a fraction is exactly one half (evenly divisible).
- Compare fractions to the benchmark fraction 1/2 without converting to decimals.
- Recognize equivalent fractions that are equal to 1/2 (like 2/4 or 5/10).
4nf3d
- Add and subtract fractions to find a sum or difference.
- Compare two fraction results to decide which is greater, less, or equal.
- Use common denominators or equivalent fractions to make comparisons easier.
4nf2
- Decide whether a shaded fraction is less than, equal to, or greater than one-half.
- Compare a fraction to 1/2 by thinking about how many equal parts make a whole.
- Use pictures like fraction models or number lines to judge a fraction’s size compared to 1/2.
4nf2
- Put fractions in order from least to greatest.
- Compare fractions that have different denominators like 2, 3, 4, 5, and 10.
- Use equivalent fractions to make fair comparisons (like changing 1/2 into 5/10).
- Decide which fraction is bigger or smaller by thinking about the size of the pieces.
3nf3d
- Compare fractions of the same whole using a picture
- Order three fractions from least to greatest
- Order three fractions from greatest to least
- See why a larger denominator means smaller pieces
Equivalent Fractions
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About these worksheets
Students learn to create, identify, and work with equivalent fractions. Activities include using visual models and number lines to find equivalent fractions, reducing fractions to simplest form, finding missing numerators or denominators, recognizing equivalent fraction patterns, writing whole numbers as fractions, and simplifying mixed numbers with improper fraction parts. Aligned with third through fourth grade standards.
3nf3b
- Use shaded pictures to see what fraction of a whole is shown.
- Express an equivalent fraction in a picture model.
- Match equivalent fractions by noticing when the whole is split into more equal parts.
- Connect the numerator and denominator to how many parts are shaded and how many parts there are in all.
3nf3a
- Use a number line to see where a fraction lands between 0 and 1.
- Find an equivalent fraction by splitting the same number line into more equal parts.
- Match two fractions that point to the same spot on a number line.
3nf3c
- Practice counting shaded parts across multiple shapes to write an improper fraction
- Figure out the denominator by looking at how many equal pieces each shape is divided into
- Write fractions greater than one whole by counting all the shaded pieces as the numerator
3nf3c
- Recognize that any whole number can be written as a fraction with a denominator of 1.
- Write whole numbers in fraction form (like 5 as 5/1).
4nf1
- Practice simplifying fractions to their smallest form.
- Find a common factor in the numerator and denominator and divide both by the same number.
- Use the greatest common factor to reduce a fraction in one step.
4nf1
- Find the missing numerator or denominator that makes two fractions equal.
- Use multiplication to scale a fraction up to an equivalent fraction.
- Use division to scale a fraction down to an equivalent fraction.
- Spot the pattern that the numerator and denominator must change by the same factor.
4nf1
- Find the missing number that makes two fractions equivalent.
- Use a pattern or rule to see how the numerator and denominator are being scaled.
- Multiply or divide the numerator and denominator by the same number to keep a fraction’s value the same.
- Explain why two different-looking fractions can represent the same amount.
4nf1
- Use shaded pictures to see what fraction of a whole is shown.
- Match two pictures that show the same amount shaded, even if they are split into different numbers of parts.
- Write an equivalent fraction by multiplying the numerator and denominator by the same number.
- Explain why two fractions are equal by pointing to the same shaded area in the models.
4nf4b
- [object Object]
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- [object Object]
- Practice rewriting a whole number times a fraction as an equivalent expression with a unit fraction (e.g., 7 × 2/5 = 14 × 1/5)
- Multiply the whole number by the numerator to create the new whole number in the expression
- Understand that multiplying by a fraction like 2/5 is the same as multiplying by 2 and then by 1/5
4nf1
- Recognize when two fractions are equal even if they use different numbers.
- Shade fraction models to show the same amount in different ways.
- Match a given fraction to an equivalent fraction by partitioning a shape into more equal parts.
- Explain how multiplying the top and bottom of a fraction by the same number keeps the value the same.
- Turn mixed numbers with an extra-large fraction part into an equivalent mixed number with a proper fraction.
- Regroup by trading fractional parts for whole numbers when the numerator is at least the denominator.
- Rewrite a fraction as a whole number plus a leftover fraction (like 9/4 = 2 1/4).
3nf3c
- Practice understanding that any whole number can be written as a fraction (like 6 = 6/1)
- Find the missing value in a fraction that makes it equal to a whole number
- Learn that dividing a number by itself equals 1 and dividing a number by 1 equals itself
Converting Fractions
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About these worksheets
These worksheets focus on converting between different fraction forms. Students practice converting fractions to whole numbers, changing improper fractions to mixed numbers, converting mixed numbers to improper fractions, and matching visual models to both forms. Aligned with third and fourth grade standards.
3nf3c
- Turn a fraction into a whole number when it represents a complete group (like 6/3 = 2).
- Turn a whole number into an equivalent fraction (like 7 = 63/9).
4nf3c
- Turn an improper fraction into a mixed number by finding how many whole groups it makes and what part is left over.
- Use division to connect the numerator and denominator when rewriting a fraction as a whole number plus a fraction.
- Write the remainder as the fractional part with the same denominator.
4nf3c
- Convert a mixed number into an improper fraction.
- Multiply the whole number by the denominator to find how many fractional parts are in the whole part.
- Add the extra numerator to get the new numerator while keeping the same denominator.
- Read fraction pictures and tell how many whole units and extra parts they show.
- Write a picture that shows more than 1 whole as an improper fraction.
- Explain how the numerator and denominator match the number of shaded parts and the size of each whole.
Comparing Fractions, Decimals & Percents
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About these worksheets
Students develop fluency in comparing and converting between fractions, decimals, and percents. Worksheets include numeric fraction comparison, finding equivalent values across all three forms, using visual models and number lines, and working with number wheels. These resources help students see fractions, decimals, and percents as different representations of the same quantity. Aligned with fourth grade and above.
4nf6
- Decide which of two fractions is greater, less, or if they are equal.
- Compare fractions even when they have different denominators.
- Use equivalent fractions or common denominators to make comparisons easier.
4nf6
- Convert between fractions, decimals, and percents that represent the same amount.
- Find a missing fraction, decimal, or percent by using equivalent values.
4nf6
- Read a shaded picture model and name the fraction that is shaded.
- Write the shaded amount as a decimal.
- Write the shaded amount as a percent.
- Convert between fraction, decimal, and percent to show the same amount in different ways.
4nf6
- Turn a fraction into a decimal by dividing the numerator by the denominator.
- Write decimals correctly using tenths and hundredths place value.
4nf6
- Turn a decimal into a fraction by using the place value to choose the denominator.
- Connect the decimal and fraction as two ways to show the same amount.
4nf6
- Compare a fraction and a decimal to decide which one is larger.
- Use a number line to see where each value falls between 0 and 1 (or between whole numbers).
- Use benchmark values like 0, 0.5, and 1 to judge which number is closer to the right side of the number line.
4nf6
- Read a shaded section on a number wheel and name it as a fraction of the whole.
- Read a shaded section on a number wheel and name it as a decimal value.
4nf6
- Read a number wheel and figure out what fraction of the whole is shaded.
- Read a number wheel and figure out what decimal amount of the whole is shaded.
