View largerDividing fractions
Dividing a unit fraction by a whole number and a whole number by a unit fraction, with bar models and multiplication checks
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Dividing Fractions Worksheets
A dividing fractions chart, bar models and number lines, unit fractions and whole numbers, checking by multiplying and word problems. With keys.
Download the dividing fractions worksheets
Dividing fractions chart and models
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View all 2 pagesUnit fraction ÷ whole number models
Using a fraction bar to split a unit fraction into equal parts: 1/3 ÷ 4 = 1/12 because 1/12 × 4 = 1/3
Answer key on page 2
2 pages43 KB
View all 2 pagesWhole number ÷ unit fraction models
Counting how many unit fractions fit in a whole number with fraction bars: 4 ÷ 1/5 = 20 because 20 × 1/5 = 4
Answer key on page 2
2 pages46 KB
View all 2 pagesDivide by a unit Fraction: number lines
Counting jumps of a unit fraction from 0 to a whole number on a number line to divide
Answer key on page 2
2 pages46 KB
Divide and check
View all 2 pagesDivide unit fractions by whole numbers
Dividing a unit fraction by a whole number: 1/b ÷ n = 1/(b × n)
Answer key on page 2
2 pages55 KB
View all 2 pagesDivide whole numbers by unit fractions
Dividing a whole number by a unit fraction: n ÷ 1/b = n × b, because there are b unit fractions in every whole
Answer key on page 2
2 pages54 KB
View all 2 pagesDivide fractions and check
Dividing unit fractions and whole numbers, then checking each quotient with a multiplication equation
Answer key on page 2
2 pages46 KB
View all 2 pagesDividing fractions word problems
Solving real-world problems that divide a unit fraction by a whole number or a whole number by a unit fraction
Answer key on page 2
2 pages42 KB
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About these dividing fractions worksheets
In 5th grade, children divide in two ways with unit fractions. Dividing a unit fraction by a whole number shares it into smaller pieces: 1/3 ÷ 4 = 1/12, because cutting each third into 4 parts makes twelfths. Check it by multiplying: 1/12 × 4 = 4/12 = 1/3.
Dividing a whole number by a unit fraction counts how many pieces fit: 4 ÷ 1/5 = 20, because each whole holds 5 fifths and 4 wholes hold 20. Check: 20 × 1/5 = 4. A number line shows the same thing as equal jumps from 0.
These worksheets start with the chart and drawn bar models, then number lines, practice for each kind of division, a sheet that checks every answer by multiplying, and word problems. Every practice page has an answer key.
Standards
CCSS.MATH.CONTENT.5.NF.B.7Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.CCSS.MATH.CONTENT.5.NF.B.7.AInterpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) × 4 = 1/3.CCSS.MATH.CONTENT.5.NF.B.7.BInterpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ (1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 × (1/5) = 4.CCSS.MATH.CONTENT.5.NF.B.7.CSolve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins?
How to use them
- Teach with the chart and the two bar model sheets.
- Use the number line sheet for whole numbers divided by unit fractions.
- Practice each kind of division, then mix them on Divide Fractions and Check.
- Finish with the word problems.
Teaching tips
- Sharing a piece makes it smaller; counting pieces in a whole gives a bigger number.
- Always check a division with multiplication.
- Ask: is the answer a part of a whole, or a number of pieces?
Questions teachers and parents ask
What is 1/2 divided by 3?
1/6. Sharing half of something among 3 people gives each person 1/6 of the whole, and 1/6 × 3 = 1/2.
What is 3 divided by 1/4?
12. Each whole holds 4 fourths, so 3 wholes hold 12 fourths, and 12 × 1/4 = 3.