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Multiplying & Dividing Fractions Worksheets

This comprehensive section offers 31 free worksheets covering fraction multiplication and division for grades 4-6. Students practice multiplying fractions by whole numbers and other fractions, dividing unit fractions, using visual models and number lines, cross-cancelling, estimation, and solving real-world word problems to build computational fluency.

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Multiplying & Dividing Fractions

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.

Multiplying & Dividing Fractions Worksheets - Multiplying Unit Fractions with Numberlines worksheet

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Multiplying Unit Fractions with Numberlines

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Student objectives

Understand that multiplying a unit fraction means taking that fraction of a whole number.
Use a number line to show equal jumps of a unit fraction and find the total distance.

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Multiplying & Dividing Fractions Worksheets - Multiplying Fractions & Whole Numbers worksheet

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Multiplying Fractions & Whole Numbers

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Student objectives

Multiply a fraction by a whole number to find a product.
Use a picture model to show repeated groups of the same fraction.

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Multiplying & Dividing Fractions Worksheets - Multiplying Unit Fractions by Whole Numbers worksheet

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Multiplying Unit Fractions by Whole Numbers

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Student objectives

Multiply a unit fraction by a whole number to find the product.
Use repeated addition to understand what it means to multiply a fraction by a whole number.
Explain the result as “that many copies of the fraction” (for example, 3 × 1/4 means three one-fourths).

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Multiplying & Dividing Fractions Worksheets - Multiplying Fractions by whole numbers (Visual) worksheet

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Multiplying Fractions by whole numbers (Visual)

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Student objectives

Multiply a fraction by a whole number to find the total amount.
Use pictures or models to show what it means to take a fraction several times.
Connect repeated addition of the same fraction to multiplication.

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Multiplying & Dividing Fractions Worksheets - Multiplying Fractions by Whole Numbers worksheet

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Multiplying Fractions by Whole Numbers

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Student objectives

Multiply a fraction by a whole number to find the total amount in several equal groups.
Use repeated addition to understand what it means to multiply a fraction by a whole number.

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Multiplying & Dividing Fractions Worksheets - Multiplying Fraction by a whole (word) worksheet

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Multiplying Fraction by a whole (word)

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Student objectives

Figure out what it means to take a fraction of a whole number in a story problem.
Multiply a fraction by a whole number to find how much you have in all.

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Multiplying & Dividing Fractions Worksheets - Estimating Multiplication of Fractions worksheet

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Estimating Multiplication of Fractions

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Student objectives

Estimate the product of two fractions without doing exact multiplication.
Round fractions to easy benchmark fractions like 0, 1/2, 1, or whole numbers to make mental math quicker.
Use compatible numbers to get a close estimate for a fraction multiplication problem.
Decide which estimate makes the most sense by comparing it to the answer choices.

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Multiplying & Dividing Fractions Worksheets - Multiplying Fractions worksheet

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Multiplying Fractions

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Student objectives

Multiply two fractions to find the product.
Convert between mixed numbers and improper fractions when needed to multiply.

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Multiplying & Dividing Fractions Worksheets - Multiplying Fractions (visual) worksheet

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Multiplying Fractions (visual)

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Student objectives

Multiply two fractions to find the product.
Use shaded area models or grids to show what it means to multiply fractions.

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Multiplying & Dividing Fractions Worksheets - Multiplying Fraction by Whole with Numberline worksheet

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Multiplying Fraction by Whole with Numberline

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Student objectives

Multiply a fraction by a whole number to find the total amount.
Use a number line to show equal jumps of a fraction and count how many jumps you make.

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Multiplying & Dividing Fractions Worksheets - Finding Fraction Product worksheet

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Finding Fraction Product

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Student objectives

Decide whether a fraction product is greater than, less than, or equal to one of the factors.
Use what you know about multiplying by a fraction less than 1 or greater than 1 to predict how the product will change.

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Multiplying & Dividing Fractions Worksheets - Multiplying Fractions worksheet

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Multiplying Fractions

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Student objectives

Multiply two fractions to find a product.
Multiply a fraction by a whole number.
Simplify products to a fraction in lowest terms or a mixed number.
Solve word problems where multiplying fractions gives the answer.

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Multiplying & Dividing Fractions Worksheets - Multiplying Fractions with Cross Cancelling worksheet

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Multiplying Fractions with Cross Cancelling

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Student objectives

Multiply two fractions to find a product.
Cross-cancel common factors between a numerator and the other fraction’s denominator before multiplying.
Use factor pairs to spot numbers that can be reduced.

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Multiplying & Dividing Fractions Worksheets - Division Relative to Multiplication worksheet

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Division Relative to Multiplication

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Student objectives

Solve division problems where a unit fraction is divided by a whole number (like 1/3 ÷ 6).

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Multiplying & Dividing Fractions Worksheets - Dividing Unit Fractions (Visual) worksheet

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Dividing Unit Fractions (Visual)

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Student objectives

Divide a unit fraction by a whole number to find how much each group gets.
Use a picture model to show how a fraction is split into equal parts.
Connect the visual model to the rule that dividing by a whole number makes the denominator larger.

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Multiplying & Dividing Fractions Worksheets - Dividing Unit Fractions worksheet

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Dividing Unit Fractions

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Student objectives

Divide a unit fraction by a whole number to find an equal share.
Use the idea that dividing by a whole number makes the fraction smaller.
Rewrite division of fractions as multiplication by the reciprocal to solve.

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Multiplying & Dividing Fractions Worksheets - Dividing By Unit Fractions (Visual) worksheet

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Dividing By Unit Fractions (Visual)

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Student objectives

Understand what it means to divide by a unit fraction using a picture or model.
Use visual models to see how many 1/b-sized parts fit into a given fraction or whole amount.
Connect the visual model to the idea that dividing by a unit fraction makes the answer larger.

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Multiplying & Dividing Fractions Worksheets - Fractions as Division Problems worksheet

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Fractions as Division Problems

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Student objectives

Practice reading a fraction as a division problem (numerator divided by denominator).

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Multiplying & Dividing Fractions Worksheets - Dividing By Unit Fractions worksheet

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Dividing By Unit Fractions

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Student objectives

Divide a whole number by a unit fraction like 1/2 or 1/5.
Use the idea that dividing by a unit fraction is the same as multiplying by its reciprocal.
Find quotients that are whole numbers and understand why the answer gets larger when you divide by a fraction less than 1.

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Multiplying & Dividing Fractions Worksheets - Unit Fraction Word Problems worksheet

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Unit Fraction Word Problems

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Student objectives

Solve word problems where you divide a whole number by a unit fraction like 1/2 or 1/4.
Solve word problems where you divide a unit fraction by a whole number to find how much one share is.

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Multiplying & Dividing Fractions Worksheets - Dividing By Unit Fractions worksheet

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Dividing By Unit Fractions

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Student objectives

Divide a whole number by a unit fraction like 1/2 or 1/5.
Use the idea that dividing by a unit fraction is the same as multiplying by its reciprocal.

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Multiplying & Dividing Fractions Worksheets - Distributing Fractions Sums worksheet

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Distributing Fractions Sums

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Student objectives

Use fraction addition to recombine the parts and confirm the total stays the same.
Rewrite fractions into equivalent fractions so they can be added with a common denominator.
Simplify the final fraction or mixed number when possible.

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Multiplying & Dividing Fractions Worksheets - Distributing Line Plots Values worksheet

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Distributing Line Plots Values

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Student objectives

Read a line plot and tell how many data points are at each fraction measurement.
Add up fractional measurements from a line plot to find the total amount.
Split the total from a line plot into equal shares and figure out how much each share gets.
Use the data on a line plot to answer questions about how the measurements are distributed.

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Multiplying & Dividing Fractions Worksheets - Distributing Fraction Values worksheet

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Distributing Fraction Values

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Student objectives

Split a group of objects into equal parts and describe each part as a fraction of the whole.
Combine fractional parts to make a whole or a larger fraction when you regroup the pieces.
Use pictures or models to show how the same total can be redistributed into different fractional groups.

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Multiplying & Dividing Fractions Worksheets - Division as Fraction - Word worksheet

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Division as Fraction - Word

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Student objectives

Use the numbers in a word problem to decide what goes in the numerator and denominator.
Identify which two whole numbers a fraction lies between.

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Multiplying & Dividing Fractions Worksheets - Numberline Fraction by Whole worksheet

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Numberline Fraction by Whole

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Student objectives

Divide a fraction by a whole number to find how much each equal share is.
Use a number line to show the division by splitting a fraction-length segment into equal parts.

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Multiplying & Dividing Fractions Worksheets - Numberline Unit Fraction by Whole worksheet

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Numberline Unit Fraction by Whole

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Student objectives

Divide a unit fraction (like 1/3 or 1/8) by a whole number.
Use a number line to show how a unit fraction is split into equal parts.
Write the answer as a fraction and connect it to the number line model.

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Multiplying & Dividing Fractions Worksheets - Numberline Whole By Fraction worksheet

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Numberline Whole By Fraction

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Student objectives

Divide a whole number by a fraction to find how many fractional parts fit in the whole number.
Use a number line to model division by making equal jumps of a fraction and counting the jumps.

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Multiplying & Dividing Fractions Worksheets - Numberline Whole By Unit Fraction worksheet

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Numberline Whole By Unit Fraction

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Student objectives

Divide a whole number by a unit fraction like 1/2 or 1/4.
Use a number line to show equal jumps of a unit fraction and count how many jumps fit in the whole number.
Explain the quotient as “how many 1/n parts are in this many wholes.”

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Multiplying & Dividing Fractions Worksheets - Dividing Fractions worksheet

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Dividing Fractions

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Student objectives

Divide one fraction by another fraction.
Use the reciprocal (flip the second fraction) and multiply to find the quotient.
Convert between mixed numbers and improper fractions when needed to divide.

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Multiplying & Dividing Fractions Worksheets - Dividing Fractions with a Numberline worksheet

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Dividing Fractions with a Numberline

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Student objectives

Use a number line to show division with fractions by making equal jumps.
Figure out how many fractional steps fit into a given length on a number line.
Solve fraction division problems by thinking about the reciprocal and what the quotient means.

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Multiplying & Dividing Fractions Worksheets - Matching Area Models to Fraction Products worksheet

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Matching Area Models to Fraction Products

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Student objectives

Read a fraction product off an area model
Match a product to the model that shows it
See that the numerators go on different axes
Understand why the product is the part shaded twice

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Multiplying & Dividing Fractions Worksheets - Dividing by a Unit Fraction with a Bar Model worksheet

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Dividing by a Unit Fraction with a Bar Model

Student objectives

Count how many unit fractions fit into an amount.
Read a division from a bar model.
Explain why the answer is larger than the amount divided.

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Multiplying & Dividing Fractions Worksheets - Related Multiplication and Division with Fractions worksheet

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Related Multiplication and Division with Fractions

Student objectives

Use a multiplication to complete the matching division.
Use a division to complete the matching multiplication.
Explain why dividing by a unit fraction gives a larger number.

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Multiplying & Dividing Fractions Worksheets - Multiplying Decimals with a Hundredths Grid worksheet

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Multiplying Decimals with a Hundredths Grid

Student objectives

Read a decimal product from a hundredths grid.
See the product as the squares where two bands cross.
Explain why the product is smaller than both factors.

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Multiplying & Dividing Fractions Worksheets - Multiplying Mixed Numbers worksheet

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Multiplying Mixed Numbers

Student objectives

Write a mixed number as an improper fraction.
Multiply mixed numbers.
Write the product in simplest form.

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Multiplying & Dividing Fractions Worksheets - Dividing Mixed Numbers worksheet

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Dividing Mixed Numbers

Student objectives

Write a mixed number as an improper fraction.
Multiply by the reciprocal of the divisor.
Write the quotient in simplest form.

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Multiplying & Dividing Fractions Worksheets - Sharing a Mixed Number Amount (Word) worksheet

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Sharing a Mixed Number Amount (Word)

Student objectives

Divide a mixed number by a whole number in context.
Reject an answer larger than the amount shared.
Reject an answer that split the mixed number up.

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