4th Grade Equivalent Fractions Test Answer Key and Scoring Guide (PDF)

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

Key takeaway: This answer key helps fourth grade students see how each point on the equivalent fractions test was earned.

Topic: Equivalent Fractions (4th grade)
Content: Worked solutions and a scoring guide for 9 questions
Standards: 4.NF.A.1
Answers: Every step shown, with the method to review
Format: Free printable PDF, US Letter, black and white

This answer key helps fourth grade students see how each point on the equivalent fractions test was earned. Also, it gives complete solutions to all nine questions, with the multiplier or divisor named in each one and a sentence of reasoning for the explanation questions.

Question 4 explains which fractions in the list match three fourths and why the others do not, and question 8 shows how to compare pizzas by renaming fractions. Add your points out of 20, then spend about 15 minutes redoing every question that lost credit. Write each correction with its multiplier, so the reasoning is clear.

Use this answer key and scoring guide to grade the equivalent fractions test. Each solution shows the multiplication or division used, and the scoring notes explain partial credit out of 20 points.

Grade 4 · Common Core State Standards: 4.NF.A.1

4th grade equivalent fractions test answer key: worked solutions

1 – Strips [2 pts]

A: $\frac{2}{3}$. B: $\frac{8}{12}$.

$3 \times 4 = 12$ and $2 \times 4 = 8$, so they are equal.

$\frac{2}{3} = \frac{8}{12}$

Scoring: 1 point for both fractions; 1 point for a correct explanation or equation.

2 – Missing numerators [2 pts]

(a) $5 \times 2 = 10$, so $3 \times 2 = 6$. (b) $6 \times 2 = 12$, so $5 \times 2 = 10$.

(a) 6 (b) 10

Also, Scoring: 1 point for each correct number.

3 – Hundredths [2 pts]

(a) $10 \times 10 = 100$, so $7 \times 10 = 70$. (b) $5 \times 20 = 100$, so $4 \times 20 = 80$.

(a) 70 (b) 80

Scoring: 1 point for each correct number.

4 – Which are equal? [2 pts]

$3 \times 2 = 6$ and $4 \times 2 = 8$: yes. $3 \times 3 = 9$ and $4 \times 3 = 12$: yes. $\frac{8}{12}$ = $\frac{2}{3}$: no. $\frac{5}{6}$: no.

$\frac{6}{8}$ and $\frac{9}{12}$

Scoring: 2 points for both and no extras; 1 point if one is missing or one extra is listed.

5 – Ethan's error [2 pts]

To make an equivalent fraction, both parts must be multiplied (or divided) by the same number. Adding 1 changes the amount.

$3 \times 4 = 12$ and $2 \times 4 = 8$, so $\frac{2}{3}$ = $\frac{8}{12}$.

Adding does not keep the value; $\frac{8}{12}$

Scoring: 1 point for the explanation; 1 point for $\frac{8}{12}$.

Question 6 and after

6 – Number lines [3 pts]

(a) The bottom line is cut into eighths, and the dot is at the 4th mark: $\frac{4}{8}$.

(b) $\frac{2}{4} = \frac{4}{8}$.

Completed number lines.

(a) $\frac{4}{8}$ (b) $\frac{2}{4}$ = $\frac{4}{8}$ (c) $\frac{5}{10}$

Scoring: 1 point for each part. Accept any correct equation in (b).

7 – Store fractions [3 pts]

(a) $3 \times 10 = 30$, so $\frac{30}{100}$.

(b) $100 \div 25 = 4$ and $25 \div 25 = 1$, so $\frac{1}{4}$.

(a) $\frac{30}{100}$ (b) $\frac{1}{4}$ (c) $\frac{3}{4}$

Scoring: 1 point for each part.

8 – Pizza comparison [3 pts]

(a) $6 \times 2 = 12$ and $2 \times 2 = 4$, so $\frac{2}{6}$ = $\frac{4}{12}$. They ate the same amount.

(b) $3 \times 2 = 6$ and $1 \times 2 = 2$, so $\frac{1}{3}$ = $\frac{2}{6}$. Yes.

All three strips shade the same length.

(a) yes (b) yes

Scoring: (a) 1 point for yes, 1 point for the multiplication reason; (b) 1 point.

9 – Write one [1 pt]

Multiply the numerator and denominator by 2: $\frac{5 \times 2}{8 \times 2} = \frac{10}{16}$. Any correct multiple works, such as $\frac{15}{24}$.

$\frac{10}{16}$

Scoring: 1 point for any correct equivalent fraction.

Total score

Total

20 points

Key facts behind this 4th grade equivalent fractions test answer key

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 answer key

Students lose a point in question 6 by giving only the fraction. The question also asks for an equation and a sentence, and each part is scored.
Students count a lucky guess in question 4 as correct. Also, the key shows the multiplier for each choice, and that reasoning is part of the skill.
Students rewrite twenty-five hundredths in question 7 by guessing. Instead, divide the top and bottom by 25 to get one fourth.
Students treat question 9 as optional because many answers work. A correct fraction with no check still earns the point, but the check is a good habit.

How to learn from your test

Sort your lost points into missing numbers, explanations, and word problems. Also, the explanation questions often need the most practice.
Rewrite one wrong answer using the key’s wording. Using the same sentence pattern helps you do it on your own next time.
Teachers can have students trade tests and check each other’s multipliers, which keeps reviewing short and active. Repeat this habit on every problem for the best results.

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

4th grade equivalent fractions test answer key: frequently asked questions

Which fractions in question 4 are equal to three fourths?

Six eighths and nine twelfths are equal to three fourths. Also, multiplying the top and bottom of three fourths by 2 gives six eighths, and by 3 gives nine twelfths. Eight twelfths and five sixths are not equal because no single multiplier works on both parts.

Why is Ethan’s reasoning wrong in question 5?

Adding 1 to the numerator and the denominator changes the size of the pieces and the number of pieces by different amounts. So, two thirds is not equal to three fourths. Only multiplying or dividing both parts by the same number keeps a fraction’s value.

How do I compare two pizzas with different fractions?

Rename both fractions with the same denominator and compare. Two sixths and four twelfths both equal one third, so Noah and Priya ate the same amount. Always check that the pizzas are the same size before comparing.

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