5th Grade Fractions as Division Test with Answer Key (Free PDF)

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

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

Key takeaway: This test helps fifth grade students show that they can write divisions as fractions, write fractions as divisions, and solve sharing problems.

Topic: Fractions as Division (5th grade)
Content: 9 questions with point values, about 45 minutes
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 test helps fifth grade students show that they can write divisions as fractions, write fractions as divisions, and solve sharing problems. Also, it is worth 20 points and takes 45 minutes.

The nine questions begin with writing divisions and fractions, then write quotients as mixed numbers and use a model of friends sharing bars. Then, later questions compare quotients, read a point on a number line, and solve stories about oranges, ribbon, and flour. Also, the last question asks students to correct a classmate. Then, show your reasoning for full credit.

This test has 9 questions worth 20 points in all. It checks fractions as division (5.NF.B.3): writing division as fractions, using mixed numbers, and solving equal-sharing problems. Show all work and write units in word problems. The test takes about 45 minutes.

Time and points

About this test

Grade: Grade 5
Chapter: Fractions as Division
Standards: 5.NF.B.3
Time: 45 minutes
Total: 20 points

5th grade fractions as division test: questions

1 – Division and fractions [2 pts]

Write $5 \div 8$ as a fraction. (1 point)
Write $\frac{3}{7}$ as a division problem. (1 point)

2 – Quotients as mixed numbers [2 pts]

Find $11 \div 4$. Write the answer as a mixed number. (1 point)
Find $19 \div 6$. Write the answer as a mixed number. (1 point)

3 – Sharing granola bars [2 pts]

Then, four friends share 3 granola bars equally. Each bar is cut into 4 equal pieces, as shown.

Granola bars cut into fourths.

Write a division sentence for this problem. (1 point)
How much of a granola bar does each friend get? (1 point)

4 – Which quotient is greater [2 pts]

Now, decide which is greater, $9 \div 4$ or $14 \div 6$. Show your work.

5 – Point on a number line [3 pts]

Point P shows the quotient of a division problem on the number line.

Point P on a number line.

Write the location of P as an improper fraction. (1 point)
Also, write the location of P as a mixed number. (1 point)
Write a division problem that has this quotient. (1 point)

Question 6 and after

6 – Oranges for players [3 pts]

First, a coach shares 10 oranges equally among 4 players.

Write a division problem for this situation. (1 point)
How many oranges does each player get? Write the answer as a mixed number in simplest form. (2 points)

7 – Cutting a ribbon [3 pts]

Next, a 15-foot ribbon is cut into 6 equal pieces.

Ribbon cut into 6 equal pieces.

How long is each piece? Write the answer as a mixed number in simplest form. (2 points)
Is each piece longer than 2 feet? Explain. (1 point)

8 – Bags of flour [2 pts]

Liam divides 9 pounds of flour equally into 4 bags. He also has one bag that holds $2\frac{1}{2}$ pounds.

How many pounds of flour go into each of the 4 bags? Write the answer as a mixed number. (1 point)
Is the single bag heavier or lighter than one of the 4 equal bags? Explain. (1 point)

9 – Find the mistake [1 pt]

Priya says that $4 \div 9$ equals $\frac{9}{4}$. Explain her mistake and give the correct fraction.

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

Key facts behind this 5th grade fractions as division test

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 test

Students flip the fraction when they write a division. Instead, the amount shared is the numerator, and the number of groups is the denominator.
Students answer a sharing story with a whole number when the amount is smaller than the groups. Also, each share is a fraction.
Students skip simplifying. Instead, check whether the numerator and the denominator share a factor. Slow down at that step and check it twice.
Students explain a classmate’s mistake without a correct answer. Also, give the correct fraction too. Slow down at that step and check it twice.

Test-taking strategy

Say the story as shared among before you write the division. Finally, the words give the order. Repeat this habit on every problem for the best results.
Draw a model for any sharing story. Also, a picture can earn credit even if the number has a slip.
Parents can review the night before by asking the child to share a pizza among four people and write the fraction.

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

5th grade fractions as division test: frequently asked questions

How do I write a division sentence for a sharing model?

Write the amount being shared first, then the number of groups. Also, if 2 bars are shared among 5 friends, write 2 divided by 5. The fraction two fifths gives each friend’s share. A quick check like this takes only a few seconds and prevents most errors.

How do I show a point on a number line as an improper fraction?

Count the marks from zero to the point, and use the number of marks in one whole as the denominator. If a whole has 3 marks and the point is at the 7th mark, write seven thirds.

How do I explain a mistake with a flipped fraction?

Say which number was shared and which was the number of groups. Then write the correct fraction. For 3 divided by 8, the fraction is three eighths, not eight thirds. A quick check like this takes only a few seconds and prevents most errors.

All Grade 5 chapters: Grade 5 math.

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