5th Grade Dividing Unit Fractions and Whole Numbers Test with Answer Key (Free PDF)

$5th grade dividing fractions test – Maths PDF$

Cover of the book Grade 5 Math Tests with Answer Keys (PDF)

Download as a PDFThe Grade 5 tests book with answer keysPrintable PDFSee the book ›

Sommaire

This 5th grade dividing fractions test covers dividing unit fractions and whole numbers (Common Core 5.NF.B.7a, 5.NF.B.7b, 5.NF.B.7c), with a free PDF to print.

Key takeaway: This test helps fifth grade students show that they can divide unit fractions by whole numbers and whole numbers by unit fractions, and explain their reasoning.

Topic: Dividing Unit Fractions and Whole Numbers (5th grade)
Content: 9 questions with point values, about 45 minutes
Standards: 5.NF.B.7a, 5.NF.B.7b, 5.NF.B.7c
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 divide unit fractions by whole numbers and whole numbers by unit fractions, and explain their reasoning. Also, it is worth 20 points and takes 45 minutes.

The nine questions begin with quotients of unit fractions and whole numbers, then use a model and a comparison of two quotients. Then, later questions find a missing dividend, read a number line, and solve cheese, rice, and juice problems. Also, show a model or a multiplication check for full credit.

This 45-minute test covers dividing unit fractions by whole numbers and whole numbers by unit fractions (5.NF.B.7). There are 9 questions worth 20 points in all. Show your work, include units in word problems, and check your answers.

Time and points

About this test

Grade: Grade 5
Chapter: Dividing Unit Fractions and Whole Numbers
Standards: 5.NF.B.7a, 5.NF.B.7b, 5.NF.B.7c
Time: 45 minutes
Total: 20 points

5th grade dividing fractions test: questions

1 – Unit fractions divided by whole numbers [2 pts]

Answer each part.

$\frac{1}{3}\div2$ (1 point)
$\frac{1}{5}\div3$ (1 point)

2 – Whole numbers divided by unit fractions [2 pts]

Answer each part.

$4\div\frac{1}{3}$ (1 point)
$7\div\frac{1}{2}$ (1 point)

3 – Read the model [2 pts]

Then, solve. The model shows one half of a bar cut into equal pieces. Write a division equation for the model and find the quotient.

A bar and its first half.

4 – Compare two quotients [2 pts]

Now, solve. Which is greater, $6\div\frac{1}{4}$ or $6\div\frac{1}{3}$? Show the value of each.

5 – Missing dividend [2 pts]

Also, find the number that makes the equation true: $\text{?}\div3=\frac{1}{15}$. Show how you know.

6 – Number line jumps [2 pts]

First, solve. The number line shows jumps of equal size from 0 to 3. Write a division equation and find the quotient.

Equal jumps from 0 to 3.

7 – Slices of cheese [2 pts]

Next, solve. Liam has $\frac{1}{4}$ pound of cheese. He cuts it into 3 equal slices. How much does each slice weigh?

One fourth pound of cheese cut into slices.

Question 8 and after

8 – Servings of rice [3 pts]

Then, solve. Aisha has 5 cups of rice. Each serving is $\frac{1}{3}$ cup.

How many servings can she make? (1 point)
Her family eats 6 servings. How many servings are left? (1 point)
How many cups of rice are left? (1 point)

9 – Juice bottles [3 pts]

Now, solve. Mei has $\frac{1}{2}$ gallon of juice. A cooler holds 2 gallons of water.

Mei pours the juice equally into 4 bottles. How much juice is in each bottle? (1 point)
Noah fills $\frac{1}{8}$-gallon bottles from the cooler. How many bottles can he fill? (1 point)
Explain why the answer to part (a) is less than $\frac{1}{2}$ but the answer to part (b) is greater than 2. (1 point)

Key facts behind this 5th grade dividing fractions test

Key facts

A unit fraction has a numerator of 1, like 1/4 or 1/8.
Also, a unit fraction divided by a whole number n is 1 over (denominator times n).
A whole number divided by a unit fraction 1/b equals the whole number times b.
Then, check any quotient by multiplying it by the divisor to get the dividend.
Bar models and number lines show how many pieces there are.

Common mistakes with this 5th grade dividing fractions test

Students multiply when a story shares a piece. Sharing makes the pieces smaller, so divide. Slow down at that step and check it twice.
Students find a missing dividend by dividing again. Also, multiply the quotient by the divisor to find the dividend.
Students answer only the first part of a three part story. Instead, each part earns its own point.
Students compare quotients by the divisors only. Find each quotient and then compare. Slow down at that step and check it twice.

Test-taking strategy

Draw a quick strip or number line for each story. Finally, the picture shows whether to divide or count pieces.
Check each answer by multiplying. Also, if the check fails, find the step that went wrong. Repeat this habit on every problem for the best results.
Parents can review the night before by asking the child to share one half of a sandwich among three people.

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

5th grade dividing fractions test: frequently asked questions

How do I find a missing dividend?

Multiply the quotient by the divisor. So, if a number divided by 4 equals one tenth, the number is one tenth times 4, which is four tenths. Then check by dividing four tenths by 4.

How do I write a division equation for a number line?

Count the equal jumps from 0 to the end, and note the size of each jump. Also, if 8 jumps of one fourth reach 2, write 2 divided by one fourth equals 8. Use the labels on the line.

What should I show for partial credit on a story problem?

Write the division equation, the quotient, and the unit. A model or a multiplication check adds support. If the final number has a slip, a correct equation can still earn credit. A quick check like this takes only a few seconds and prevents most errors.

All Grade 5 chapters: Grade 5 math.

Voter.. post

Free printable PDF