5th Grade Fractions as Division Worksheets with Answers (Free PDF)

$5th grade fractions as division worksheet – Maths PDF$

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This 5th grade fractions as division worksheet covers fractions as division (Common Core 5.NF.B.3), with a free PDF to print.

Key takeaway: This worksheet helps fifth grade students practice writing divisions as fractions, writing fractions as divisions, and solving sharing problems.

Topic: Fractions as Division (5th grade)
Content: 20 worksheet problems, from easy to challenging
Standards: 5.NF.B.3
Answers: On a separate page, so you can try every worksheet problem first
Format: Free printable PDF, US Letter, black and white

This worksheet helps fifth grade students practice writing divisions as fractions, writing fractions as divisions, and solving sharing problems. Also, models, number lines, and stories about food, ribbon, and clay show why a fraction bar means divide.

There are 20 problems. The first five connect division and fractions with models and words, and the next five write quotients greater than one as improper fractions and mixed numbers. Then, the middle group compares quotients, finds a missing number, and simplifies. Also, the last six are word problems about trail mix, pizza, ribbon, apples, juice, and clay. Then, allow about 30 minutes.

These 20 problems practice fractions as division, as described in standard 5.NF.B.3. Students write division problems as fractions, rewrite improper fractions as mixed numbers, and use bars and number lines to see equal shares.

The last six problems are word problems about trail mix, pizza, ribbon, apples, juice, and clay. Write each answer as a fraction or mixed number in simplest form.

Grade 5 · Common Core State Standards: 5.NF.B.3

5th grade fractions as division worksheet: worksheet problems 1 to 10

1 – Half of a share

First, write $1 \div 2$ as a fraction.

2 – Three fifths

Next, write $3 \div 5$ as a fraction.

3 – Fraction to division

Then, write $\frac{4}{9}$ as a division problem. Then write the same amount with the words “4 shared among 9”.

4 – Seven eighths

Now, find $7 \div 8$ and write the answer as a fraction.

5 – Sandwiches for three

Also, three friends share 2 sandwiches equally. Each sandwich is cut into 3 equal pieces, as shown. Write a division problem and find how much each friend gets.

Two sandwiches, each cut into thirds.

6 – Improper fraction

First, write $5 \div 4$ as a fraction and as a mixed number.

7 – Nine halves

Next, write $9 \div 2$ as a fraction and as a mixed number.

8 – Eleven thirds

Then, find $11 \div 3$. Write the quotient as a mixed number.

9 – Thirteen fifths

Now, find $13 \div 5$. Write the quotient as a mixed number.

10 – Between two whole numbers

Also, find $17 \div 6$. Between which two whole numbers does the quotient lie? Mark its place on the number line.

The number line is marked in sixths.

Worksheet problems 11 and up

11 – Compare two quotients

First, which is greater, $7 \div 4$ or $9 \div 6$? Write each as a mixed number or fraction first.

12 – Missing number

Next, find the missing number: $? \div 5 = \frac{3}{5}$.

13 – Simplify the share

Then, find $8 \div 12$. Write the quotient as a fraction in simplest form.

14 – Fifteen sixths

Now, find $15 \div 6$. Write the quotient as a mixed number in simplest form.

15 – Trail mix

Maya has 4 pounds of trail mix. She shares it equally among 5 friends. How many pounds does each friend get?

Maya’s trail mix.

16 – Pizza for the team

Jamal’s Little League team has 8 players. The coach orders 3 pizzas to share equally. What fraction of a pizza does each player get?

3 pizzas, each cut into 8 slices.

17 – Ribbon pieces

Sofia cuts a 17-foot ribbon into 4 equal pieces. How long is each piece? Write the answer as a mixed number.

Sofia’s ribbon.

18 – Bags of apples

Ethan packs 25 pounds of apples into 6 bags with the same weight in each bag. How many pounds are in each bag? Is the answer between 4 and 5 pounds?

19 – Juice at recess

Priya pours 9 cups of juice equally into 12 small cups. How much juice goes into each small cup? Write the answer in simplest form.

Worksheet problem 20 and after

20 – Clay for art class

Aisha’s art teacher has 22 pounds of clay to share equally among 8 groups. Each group has already used $1\frac{1}{4}$ pounds. How much clay does each group have left?

$See the solutions: 5th grade fractions as division worksheet solutions$

Key facts behind this 5th grade fractions as division worksheet

Key facts

The fraction a/b means a divided by b.
Next, the numerator is the amount shared. The denominator is the number of equal groups.
If a is less than b, the quotient is less than 1.
Then, if a is greater than b, write the quotient as a mixed number: whole part plus remainder over divisor.
Check with a picture or a number line.

Common mistakes with this 5th grade fractions as division worksheet

Students write the fraction upside down. Instead, if 2 is shared among 5, the fraction is 2 over 5, not 5 over 2.
Students leave a quotient as a fraction when a mixed number is requested. Also, divide the numerator by the denominator to find the whole number.
Students forget to simplify when the numbers share a factor. Instead, check whether both numbers divide by 2, 3, or another number.
Students compare quotients by the numerators only. Write each as a mixed number, then compare. Slow down at that step and check it twice.

Tips before you start the worksheet problems

Say each division as shared among. Then, that language tells you which number goes on top. Repeat this habit on every problem for the best results.
Draw a model with equal pieces. Finally, sharing the pieces shows the fraction each person gets. Repeat this habit on every problem for the best results.
Teachers can ask students to explain why a quotient is less than one or greater than one. Repeat this habit on every problem for the best results.

Download the 5th grade fractions as division worksheet as a PDF with the button below and keep it with your notes.

5th grade fractions as division worksheet: frequently asked questions

How do you simplify a fraction that comes from a division?

Divide the numerator and the denominator by a number that goes into both. So, six shared among nine is six ninths, and dividing both by 3 gives two thirds. Simplest form has no common factor left.

How do you find a missing number in a division that equals a fraction?

Use the numerator as the dividend. If a number divided by 7 equals two sevenths, the number is 2, because two sevenths means 2 divided by 7. Check by rewriting the fraction as a division.

How do you know between which whole numbers a quotient lies?

Find the whole number multiples of the divisor around the dividend. For 20 divided by 6, 3 times 6 is 18 and 4 times 6 is 24, so the quotient lies between 3 and 4.

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