Equivalent and Comparing Fractions: Grade 3 Math Test Answer Key – PDF Download

Grade 3 Equivalent Test Answer Key: questions 1–5

Question 1: Equal bars (2 points)

1. Bar A: \(\frac{2}{3}\). Bar B: \(\frac{4}{6}\).
2. \(\frac{2}{3} = \frac{4}{6}\), because the shaded parts have the same length.

Scoring: 1 point for both fractions correct. 1 point for a correct equation with the equals sign.

Question 2: Missing numbers (2 points)

1. \(\frac{1}{2} = \frac{4}{8}\), so the missing number is 4.
2. \(\frac{2}{3} = \frac{4}{6}\), so the missing number is 6.

Scoring: 1 point for each correct number.

Question 3: Same point (2 points)

1. P is 1 part from 0 on the line cut into 4 parts: \(\frac{1}{4}\).
2. On the bottom line P is 2 parts from 0 out of 8: \(\frac{2}{8}\).

Scoring: 1 point for each correct fraction.

Question 4: Whole numbers (2 points)

1. \(\frac{5}{1}\)
2. 1, because all 8 of 8 equal parts make one whole.

Scoring: 1 point for each correct answer.

Question 5: Equal to 1 or 2 (2 points)

1. A fraction equals 1 when the numerator and denominator are equal: \(\frac{4}{4}\) and \(\frac{8}{8}\). (The fraction \(\frac{4}{2}\) equals 2.)
2. Two wholes are 2 groups of 4 fourths, which is 8 fourths: \(2 = \frac{8}{4}\).

Scoring: 1 point for circling exactly the two correct fractions. 1 point for the correct fraction.

Grade 3 Equivalent Test Answer Key: questions 6–10

Question 6: Same denominator (2 points)

1. \(\frac{3}{6} < \frac{5}{6}\)
2. \(\frac{7}{8} > \frac{4}{8}\)

The denominators match, so the fraction with the larger numerator is greater.

Scoring: 1 point for each correct comparison symbol.

Question 7: Same numerator (2 points)

1. \(\frac{2}{6} < \frac{2}{3}\)
2. Both fractions count 2 parts, but the parts of the 2/3 bar are bigger. Thirds are bigger than sixths.

Scoring: 1 point for the correct symbol. 1 point for explaining that the parts, or the shaded length, are bigger in the thirds bar.

Question 8: Order three fractions (2 points)

\(\frac{3}{8} < \frac{3}{6} < \frac{3}{4}\)

All three fractions count 3 parts. The larger the denominator, the smaller each part, so eighths are smallest and fourths are biggest.

Scoring: 1 point for the correct order. 1 point for an explanation about the sizes of the parts.

Question 9: Sandwich share (2 points)

1. \(\frac{3}{4} = \frac{6}{8}\)
2. Neither. They eat the same amount.

Scoring: 1 point for the equation. 1 point for saying they eat the same amount.

Question 10: Different pizzas (2 points)

1. No. Jamal ate more pizza.
2. The pizzas are different sizes, so the wholes are different. Half of a large pizza is more than half of a small pizza.

Scoring: 1 point for answering no. 1 point for explaining that the wholes are different sizes.

Scoring summary

How to use this grade 3 equivalent test answer key

Use this grade 3 equivalent test answer key to score the test fairly and to see which skills need more practice.

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Grade 3 Equivalent and Comparing Fractions test answer key

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