multiplying dividing fractions Worksheets
Free fraction worksheets with answer key. No login or account needed. From simplifying fractions to adding and subtracting fractions with like and unlike denominators, we've got you covered. A grading column and quick grade scale maker grading a breeze and a modified pages help with lower level learners or when just introducing a topic. Great for teachers or for homeschool.
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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.
4nf4a
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.
4nf4b
Multiply a fraction by a whole number to find a product. Use a picture model to show repeated groups of the same fraction.
4nf4a
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).
4nf4b
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.
4nf4a
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.
4nf4c
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.
5nf5b
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.
5nf4a
Multiply two fractions to find the product. Convert between mixed numbers and improper fractions when needed to multiply.
5nf4b
Multiply two fractions to find the product. Use shaded area models or grids to show what it means to multiply fractions.
5nf4a
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.
5nf5a
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.
5nf6
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.
5nf6
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.
5nf7a
Solve division problems where a unit fraction is divided by a whole number (like 1/3 ÷ 6).
5nf7a
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.
5nf7a
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.
5nf7b
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.
5nf3
Practice reading a fraction as a division problem (numerator divided by denominator).
5nf7b
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.
5nf7c
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.
5nf7c
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.
5md2
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.
5md2
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.
5md2
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.
5nf3
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.
5nf7a
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.
5nf7a
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.
5nf7b
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.
5nf7b
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.”
6ns1
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.
6ns1
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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