4th Grade Multiplying a Fraction by a Whole Number Test with Answer Key (Free PDF)

$4th grade multiplying fractions by whole numbers test – Maths PDF$

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This 4th grade multiplying fractions by whole numbers test covers multiplying a fraction by a whole number (Common Core 4.NF.B.4a, 4.NF.B.4b, 4.NF.B.4c), with a free PDF to print.

Key takeaway: This test helps fourth grade students show that they can write fractions as multiples of unit fractions and multiply a fraction by a whole number, including answers greater than one.

Topic: Multiplying a Fraction by a Whole Number (4th grade)
Content: 9 questions with point values, about 45 minutes
Standards: 4.NF.B.4a, 4.NF.B.4b, 4.NF.B.4c
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 fourth grade students show that they can write fractions as multiples of unit fractions and multiply a fraction by a whole number, including answers greater than one. Also, it is worth 20 points and takes 45 minutes.

The nine questions start with unit fractions and a strip, then use products of unit fractions and a larger product. Then, later questions read equal jumps on a number line, solve running and muffin problems, write a fraction as a product in two ways, and correct a classmate’s mistake. Also, show your work for partial credit.

This test checks multiplying a fraction by a whole number with unit fractions, number lines and word problems. It has 9 questions worth 20 points. Allow 45 minutes and no calculator.

Time and points

About this test

Grade: Grade 4
Chapter: Multiplying a Fraction by a Whole Number
Standards: 4.NF.B.4a, 4.NF.B.4b, 4.NF.B.4c
Time: 45 minutes
Total: 20 points

4th grade multiplying fractions by whole numbers test: questions

1 – Unit fractions [2 pts]

First, the strip shows $\frac{5}{6}$.

A strip cut into sixths.

Write $\frac{5}{6}$ as a multiple of a unit fraction. (1 point)
Write $\frac{5}{6}$ as a sum of unit fractions. (1 point)

2 – Unit fraction products [2 pts]

Next, find each product.

$3 \times \frac{1}{8}$ (1 point)
$7 \times \frac{1}{5}$ as a fraction and a mixed number (1 point)

3 – Multiply by a fraction [2 pts]

Then, find $4 \times \frac{3}{5}$. Write the answer as a fraction and as a mixed number.

4 – Jumps on a number line [2 pts]

Now, the number line shows equal jumps from 0.

Three jumps of $\frac{3}{4}$.

Write a multiplication equation for the jumps. Find the product.

5 – Larger product [2 pts]

Also, find $8 \times \frac{5}{12}$. Write the answer as a mixed number.

6 – Morning runs [3 pts]

Maya runs $\frac{5}{6}$ mile every morning for 4 mornings.

Write a multiplication equation for the total distance. (1 point)
Write the total as a mixed number. (1 point)
Did she run more than 3 miles? Explain. (1 point)

7 – Batches of muffins [3 pts]

Next, each batch of muffins uses $\frac{3}{4}$ cup of flour. A baker makes 6 batches.

A tape diagram of 6 batches.

Write a multiplication equation for the flour needed. (1 point)
How many cups of flour are needed? Write a mixed number. (1 point)
She has a 5-cup bag of flour. How much flour is left? (1 point)

Question 8 and after

8 – Products for nine fourths [2 pts]

Then, write $\frac{9}{4}$ as a product of a whole number and a fraction in two different ways.

9 – Diego's mistake [2 pts]

Diego says $3 \times \frac{2}{5} = \frac{6}{15}$. Explain his mistake. Then find the correct product.

Key facts behind this 4th grade multiplying fractions by whole numbers test

Key facts

A fraction a/b is a multiple of the unit fraction 1/b, so a/b = a x 1/b.
n x (a/b) = (n x a)/b. Multiply the whole number by the numerator and keep the denominator.
Repeated jumps on a number line show the same product.
Then, write improper fraction products as mixed numbers when it helps.
Equal groups in word problems signal fraction times whole number.

Common mistakes with this 4th grade multiplying fractions by whole numbers test

Students notice an answer looks wrong but cannot explain it. Also, if a classmate multiplies the denominator, say that only the numerator changes.
Students give only the fraction or only the mixed number when both are requested. Instead, each form earns credit.
Students write the equation but skip the answer. Each part is worth a point, so give the equation, the total, and the label.
Students stop at an improper fraction. Also, rename it as a mixed number by dividing the numerator by the denominator.

Test-taking strategy

Write each product as repeated addition on scratch paper for any problem that feels uncertain. Also, it confirms the numerator.
Always rename answers greater than one as mixed numbers when asked. Divide the numerator by the denominator and write the remainder over the denominator.
Parents can review the night before by asking the child to describe three fourths as three jumps of one fourth.

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4th grade multiplying fractions by whole numbers test: frequently asked questions

How do you write a multiplication equation for a number line?

Count the equal jumps and read the size of each jump. If there are 4 jumps of one third, write 4 times one third. The last point reached is the product, which is four thirds in this case.

What should I show on a fraction multiplication word problem?

Write a multiplication equation, solve it, and label the answer with a unit. For five batches that use two thirds cup of flour each, write 5 times two thirds, get ten thirds, and write 3 and 1 third cups.

How do I explain a classmate’s mistake clearly?

State what the classmate did and what to do instead. If the classmate multiplied the denominator by the whole number, say that multiplying by a whole number changes only the numerator, and then give the correct product.

All Grade 4 chapters: Grade 4 math.

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