5th Grade Fractions as Division Test Solutions and Scoring (PDF)

5th Grade math test solutions: Fractions as Division – Maths PDF

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This fractions as division test answers for 5th Grade covers fractions as division (Common Core 5.NF.B.3), with a free PDF to print.

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

Fractions as division test answers: worked solutions

Question 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.

Question 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.

Question 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.

Question 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.

Question 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 – 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.

Question 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.

Question 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.

Question 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 fractions as division test answers

Key facts

The fraction a/b means a divided by b.
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.
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.

How to use this fractions as division test answers

Score your test with the point values shown for each question. Then read the worked solution of every question where you lost points and note the method to review.

Download the fractions as division test answers as a PDF with the button below and keep it with your notes.

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