4th Grade Equivalent Fractions Test with Answer Key (Free PDF)

$4th grade equivalent fractions test – Maths PDF$

Cover of the book Grade 4 Math Tests with Answer Keys (PDF)

Download as a PDFThe Grade 4 tests book with answer keysPrintable PDFSee the book ›

Sommaire

This 4th grade equivalent fractions test covers equivalent fractions (Common Core 4.NF.A.1), with a free PDF to print.

Key takeaway: This test helps fourth grade students show that they can recognize equivalent fractions, find missing numbers, and explain why two fractions are or are not equal.

Topic: Equivalent Fractions (4th grade)
Content: 9 questions with point values, about 45 minutes
Standards: 4.NF.A.1
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 recognize equivalent fractions, find missing numbers, and explain why two fractions are or are not equal. Also, it is worth 20 points and takes 45 minutes.

The nine questions begin with strips and missing numerators, then move to hundredths and the task of picking equivalent fractions from a list. Then, later questions ask students to correct an error, use number lines, and solve store and pizza problems. Also, the last question asks students to write an equivalent fraction of their own. Then, show the multiplier you use for full credit.

This test checks equivalent fractions with strips, number lines, missing numbers 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: Equivalent Fractions
Standards: 4.NF.A.1
Time: 45 minutes
Total: 20 points

4th grade equivalent fractions test: questions

1 – Strips [2 pts]

First, write the fraction shaded in each strip. Then explain whether they are equal.

Strip A and strip B.

2 – Missing numerators [2 pts]

Next, find each missing number.

$\frac{3}{5} = \frac{?}{10}$ (1 point)
$\frac{5}{6} = \frac{?}{12}$ (1 point)

3 – Hundredths [2 pts]

Then, find each missing number.

$\frac{7}{10} = \frac{?}{100}$ (1 point)
$\frac{4}{5} = \frac{?}{100}$ (1 point)

4 – Which are equal? [2 pts]

Now, which of these fractions are equivalent to $\frac{3}{4}$? $\frac{6}{8}$, $\frac{9}{12}$, $\frac{8}{12}$, $\frac{5}{6}$.

5 – Ethan's error [2 pts]

Ethan says $\frac{2}{3}$ = $\frac{3}{4}$ because he added 1 to the numerator and 1 to the denominator. Explain his mistake. Then write $\frac{2}{3}$ with denominator 12.

6 – Number lines [3 pts]

First, the dot on the top number line is at $\frac{2}{4}$.

The dots mark the same point.

Write the fraction at the dot on the bottom number line. (1 point)
Also, write an equation using the two fractions. (1 point)
Write the same amount as a fraction with denominator 10. (1 point)

7 – Store fractions [3 pts]

Next, the school store sold $\frac{3}{10}$ of its pencils on Monday.

Write $\frac{3}{10}$ as hundredths. (1 point)
Also, write $\frac{25}{100}$ as an equivalent fraction with denominator 4. (1 point)
Write $\frac{6}{8}$ as an equivalent fraction with denominator 4. (1 point)

Question 8 and after

8 – Pizza comparison [3 pts]

Noah ate $\frac{2}{6}$ of a pizza. Priya ate $\frac{4}{12}$ of an identical pizza.

Two identical pizzas shown as strips.

Did Noah and Priya eat the same amount? Explain. (2 points)
Mei ate $\frac{1}{3}$ of an identical pizza. Did she eat the same amount as Noah? (1 point)

9 – Write one [1 pt]

Now, write one fraction that is equivalent to $\frac{5}{8}$.

Key facts behind this 4th grade equivalent fractions test

Key facts

Equivalent fractions name the same amount and sit at the same point on a number line.
Next, multiply or divide the numerator and denominator by the same number to make an equivalent fraction.
Multiplying by 2/2, 3/3 or any n/n is multiplying by 1, so the value stays the same.
Tenths change to hundredths by multiplying by 10, so 3/10 = 30/100.
Adding the same number to the top and bottom does not make an equivalent fraction.

Common mistakes with this 4th grade equivalent fractions test

Students say a classmate is wrong without saying why. Instead, explain that adding the same number to the top and bottom changes the amount, and only multiplying keeps it the same.
Students include a fraction that only looks close. Also, check each choice by finding the multiplier from the denominators.
Students answer one part of a three part question and skip the rest. Answer each part separately, since each is worth a point.
Students decide two pizzas are different because the numbers differ. Instead, rename both fractions in the same unit to compare.

Test-taking strategy

Write the multiplier above or beside each fraction as you work. Then, seeing times 3 or divide by 2 keeps your steps clear for partial credit.
Use strips or number lines when you are unsure. Finally, a quick sketch is allowed and often shows the answer faster than a rule.
Parents can review with a pizza menu or a measuring cup the night before, asking which fractions name the same amount.

Download the 4th grade equivalent fractions test as a PDF with the button below and keep it with your notes.

4th grade equivalent fractions test: frequently asked questions

What should I write when asked to explain equivalent fractions?

Name the operation and the number you used. For example, write that you multiplied the top and bottom by 3 because 4 times 3 is 12, so both fractions name the same amount. A numbers based reason earns more credit than a general statement.

Can I answer a write your own fraction question with any equivalent fraction?

Yes, as long as the fraction is correct. Many answers work for 3 fourths, such as 6 eighths or 9 twelfths. Check that the top and bottom were multiplied by the same number, and write the multiplier next to your answer.

How do I check my answer on a missing numerator problem?

Reduce your new fraction or compare it on a strip. If 1 third equals 5 fifteenths, dividing both parts of 5 fifteenths by 5 returns 1 third. This check takes a few seconds and catches multiplication slips.

All Grade 4 chapters: Grade 4 math.

Voter.. post

Free printable PDF