5th Grade Fractions as Division Test Answer Key and Scoring Guide (PDF)

$5th grade fractions as division test answer key – Maths PDF$

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This 5th grade fractions as division test answer key covers fractions as division (Common Core 5.NF.B.3), with a free PDF to print.

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

Topic: Fractions as Division (5th grade)
Content: Worked solutions and a scoring guide for 9 questions
Standards: 5.NF.B.3
Answers: Every step shown, with the method to review
Format: Free printable PDF, US Letter, black and white

This answer key helps fifth grade students see how each point on the fractions as division test was earned. Also, it gives complete solutions to all nine questions, with division sentences, fractions, and mixed numbers shown.

Question 2 converts quotients to mixed numbers, question 4 compares two quotients, question 6 writes a division problem for the oranges, and question 9 explains why Priya’s fraction is flipped. Add your points out of 20, then spend about 15 minutes redoing every question that lost credit. Then, rewrite each correction as a division and a fraction.

This answer key gives worked solutions and a scoring guide for each of the 9 test questions, worth 20 points in all. Use the scoring notes to give partial credit when the setup is correct but the final form is not simplified.

Grade 5 · Common Core State Standards: 5.NF.B.3

5th grade fractions as division test answer key: worked solutions

1 – Division and fractions [2 pts]

(a) $5 \div 8 = \frac{5}{8}$: $\frac{5}{8}$.

(b) $3 \div 7$.

Scoring: 1 point for each correct answer. In (b), the numerator must come first.

2 – Quotients as mixed numbers [2 pts]

(a) $11 \div 4 = \frac{11}{4} = 2\frac{3}{4}$: $2\frac{3}{4}$.

(b) $19 \div 6 = \frac{19}{6} = 3\frac{1}{6}$: $3\frac{1}{6}$.

Scoring: 1 point for each correct mixed number.

3 – Sharing granola bars [2 pts]

One friend gets the shaded pieces: 3 fourths.

(a) $3 \div 4$.

(b) $3 \div 4 = \frac{3}{4}$: each friend gets $\frac{3}{4}$ of a bar.

Scoring: 1 point for the sentence; 1 point for the fraction.

4 – Which quotient is greater [2 pts]

$9 \div 4 = \frac{9}{4} = 2\frac{1}{4}$. $14 \div 6 = \frac{14}{6} = 2\frac{2}{6} = 2\frac{1}{3}$.

Since $\frac{1}{3} > \frac{1}{4}$, $14 \div 6$ is greater.

Scoring: 1 point for writing both quotients as mixed numbers; 1 point for the correct comparison.

5 – Point on a number line [3 pts]

P is at 13/4.

(a) P is 13 fourths from 0: $\frac{13}{4}$.

(b) $13 \div 4 = 3 \text{ R } 1$: $3\frac{1}{4}$.

Scoring: 1 point for each part.

Question 6 and after

6 – Oranges for players [3 pts]

(a) $10 \div 4$.

(b) $\frac{10}{4} = 2\frac{2}{4} = 2\frac{1}{2}$: each player gets $2\frac{1}{2}$ oranges.

Scoring: (a) 1 point. (b) 1 point for 2 2/4 (or 10/4), 1 point for simplest form.

7 – Cutting a ribbon [3 pts]

Each piece is 2 1/2 feet.

(a) $15 \div 6 = \frac{15}{6} = 2\frac{3}{6} = 2\frac{1}{2}$: $2\frac{1}{2}$ feet.

(b) Yes. $2\frac{1}{2}$ is greater than 2, or because $6 \times 2 = 12$ feet is less than 15 feet.

Scoring: (a) 1 point for 15/6 or 2 3/6, 1 point for simplest form. (b) 1 point for a correct explanation.

8 – Bags of flour [2 pts]

(a) $9 \div 4 = \frac{9}{4} = 2\frac{1}{4}$: $2\frac{1}{4}$ pounds.

(b) $2\frac{1}{2} = 2\frac{2}{4}$ is greater than $2\frac{1}{4}$, so the single bag is heavier.

Scoring: (a) 1 point for 2 1/4 (write the final answer as a mixed number). (b) 1 point for the correct comparison with a reason.

9 – Find the mistake [1 pt]

Priya switched the numbers. The number being divided (4) is the numerator and the number divided by (9) is the denominator. $4 \div 9 = \frac{4}{9}$.

Scoring: 1 point for the correct fraction with a valid explanation.

Total score

Total

20 points

Key facts behind this 5th grade fractions as division test answer key

Key facts

The fraction a/b means a divided by b.
Next, the numerator is the amount shared. The denominator is the number of equal groups.
If a is less than b, the quotient is less than 1.
Then, if a is greater than b, write the quotient as a mixed number: whole part plus remainder over divisor.
Check with a picture or a number line.

Common mistakes with this 5th grade fractions as division test answer key

Students lose points when they write only the fraction. The question also asks for a division sentence. Slow down at that step and check it twice.
Students skip the comparison sentence in question 4. Instead, state which quotient is greater. Slow down at that step and check it twice.
Students forget the unit in question 8. Also, the answer is pounds. Slow down at that step and check it twice.
Students repeat Priya’s mistake. Instead, say aloud which number is shared and which is the number of groups.

How to learn from your test

Sort lost points into writing, converting, and stories. Practice the weakest group first. Repeat this habit on every problem for the best results.
Redo question 7 with a different ribbon length. Finally, a new example shows whether you understand sharing. Repeat this habit on every problem for the best results.
Teachers can ask students to explain a correction with a model. Repeat this habit on every problem for the best results.

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

5th grade fractions as division test answer key: frequently asked questions

How are the quotients in question 4 compared?

Nine divided by 4 is 2 and 1 fourth, and 14 divided by 6 is 2 and 1 third. Since one third is greater than one fourth, 14 divided by 6 is greater. A quick check like this takes only a few seconds and prevents most errors.

What is Priya’s mistake in question 9?

Priya wrote 9 over 4, but the division is 4 divided by 9, so the amount 4 is the numerator and 9 is the denominator. Also, the correct fraction is four ninths. A quick check like this takes only a few seconds and prevents most errors.

How much does each player get in question 6?

Ten oranges shared among 4 players is 10 divided by 4, which is 2 and 1 half oranges. Each player gets two and a half oranges. A quick check like this takes only a few seconds and prevents most errors.

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