5th Grade Multiplying Fractions and Mixed Numbers Test with Answer Key (Free PDF)

$5th grade multiplying fractions test – Maths PDF$

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This 5th grade multiplying fractions test covers multiplying fractions and mixed numbers (Common Core 5.NF.B.4a, 5.NF.B.6), with a free PDF to print.

Key takeaway: This test helps fifth grade students show that they can multiply fractions and mixed numbers, use models, and solve real problems.

Topic: Multiplying Fractions and Mixed Numbers (5th grade)
Content: 9 questions with point values, about 45 minutes
Standards: 5.NF.B.4a, 5.NF.B.6
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 multiply fractions and mixed numbers, use models, and solve real problems. Also, it is worth 20 points and takes 45 minutes.

The nine questions begin with a whole number and a fraction, then two fractions and an area model. Then, later questions multiply mixed numbers, ask students to explain why a classmate’s answer is not reasonable, and find areas, recipe amounts, and parts of a class. Also, the last question uses a number of baseball cards given away in two steps. Then, show every step for partial credit.

This test has 9 questions worth 20 points in all. It covers multiplying fractions, whole numbers, and mixed numbers (5.NF.B.4a, 5.NF.B.6). Show all work, simplify answers, and write units in word problems. The test takes about 45 minutes.

Time and points

About this test

Grade: Grade 5
Chapter: Multiplying Fractions and Mixed Numbers
Standards: 5.NF.B.4a, 5.NF.B.6
Time: 45 minutes
Total: 20 points

5th grade multiplying fractions test: questions

1 – Whole number and fraction [2 pts]

Find $6 \times \frac{2}{9}$. (1 point)
Also, find $\frac{3}{5}$ of 15. (1 point)

2 – Product of two fractions [2 pts]

Also, find $\frac{3}{8} \times \frac{2}{3}$. (1 point)
Find $\frac{5}{6} \times \frac{9}{10}$. (1 point)

3 – Read the model [2 pts]

Then, the area model shows the product of two fractions.

Blue columns, orange rows, and green overlap.

Write the multiplication sentence the model shows. (1 point)
Find the product. (1 point)

4 – Mixed number products [3 pts]

Also, find $1\frac{1}{2} \times 3\frac{1}{3}$. (1 point)
Find $2\frac{2}{3} \times 1\frac{3}{4}$. (2 points)

5 – Is it reasonable? [2 pts]

Aisha says that $4\frac{1}{2} \times \frac{3}{4}$ equals $6\frac{3}{4}$.

Explain why her answer cannot be correct without finding the exact product. (1 point)
Find the correct product. (1 point)

6 – Garden rectangles [2 pts]

First, a rectangular garden bed is $2\frac{1}{2}$ feet long and $\frac{3}{4}$ foot wide.

Sofia’s garden bed.

Find the area of the garden bed. (1 point)
A second bed is $3\frac{1}{3}$ feet long and $2\frac{1}{4}$ feet wide. Find its area. (1 point)

Question 7 and after

7 – Recipe amounts [2 pts]

Next, a pancake recipe needs $2\frac{1}{4}$ cups of flour.

Noah makes $\frac{1}{3}$ of the recipe. How much flour does he use? (1 point)
Mei makes $2\frac{1}{2}$ times the recipe. How much flour does she use? (1 point)

8 – Bus riders [2 pts]

Then, of the 24 students in Mei’s class, $\frac{5}{8}$ ride the bus. Of the bus riders, $\frac{2}{5}$ sit in the front rows.

Twenty-four students in 8 equal groups.

How many students ride the bus? (1 point)
How many bus riders sit in the front rows? (1 point)

9 – Baseball cards [3 pts]

Liam has 36 baseball cards. He gives $\frac{1}{3}$ of the cards to his brother. Then he gives $\frac{1}{4}$ of the cards that are left to a friend.

Liam’s 36 cards.

How many cards does Liam give to his brother? (1 point)
Also, how many cards does he give to his friend? (1 point)
How many cards does Liam have left? (1 point)

Key facts behind this 5th grade multiplying fractions test

Key facts

A fraction of a number means fraction times that number.
Fraction times fraction: multiply numerators, multiply denominators, then simplify.
Write a whole number as a fraction over 1 before multiplying.
Change mixed numbers to improper fractions, multiply, then write the answer as a mixed number.
An area model shows the product as the overlap of shaded parts.

Common mistakes with this 5th grade multiplying fractions test

Students explain a classmate’s answer without using size. Instead, if one factor is less than one, the product is less than the other factor.
Students multiply the whole parts of mixed numbers separately. Rename each as an improper fraction first. Slow down at that step and check it twice.
Students forget the second step of a two step story. Find the first amount, then use what is left or take a fraction of it.
Students leave an improper product when a mixed number is requested. Also, convert it. Slow down at that step and check it twice.

Test-taking strategy

Estimate each mixed number product first. Also, the estimate catches big mistakes. Repeat this habit on every problem for the best results.
Write the improper fractions on their own line. Neat steps earn partial credit. Repeat this habit on every problem for the best results.
Parents can review the night before by asking the child to find three fourths of a number. Repeat this habit on every problem for the best results.

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

5th grade multiplying fractions test: frequently asked questions

How do I explain why a product is not reasonable?

Compare it with a factor. If you multiply 6 by a fraction less than one, the product must be less than 6. An answer larger than 6 cannot be correct. Then find the exact product.

How do I find a fraction of a fraction of a group?

Take the first fraction of the group, then take the second fraction of that result. Of 40 students, one half ride a bus and one fifth of those sit in front: half of 40 is 20, and one fifth of 20 is 4.

How should I show work for a mixed number product?

Rename each factor, multiply, simplify, and convert. Write each of these on its own line so a teacher can follow the steps and give partial credit. A quick check like this takes only a few seconds and prevents most errors.

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