Fraction Test Fraction Estimation and Rounding 3

Question 1

A runner completes 4 laps of 3/8 mile each. About how far does she run in total?

Accepted Answer

About 1 1/2 miles

Answer

3/8 ≈ 1/2, so 4 × 1/2 = 2 miles; the exact answer is 1.5, so 1 1/2 miles is best.

Question 2

Which fraction rounds to 0 when using benchmark fractions?

Accepted Answer

1/8

Answer

1/8 = 0.125, which is closer to 0 than to 1/2.

Question 3

Estimate: 2 9/10 − 1 2/9 ≈ ?

Accepted Answer

About 1 1/2

Answer

2 9/10 ≈ 3 and 1 2/9 ≈ 1, so the difference is approximately 2; rounding more carefully, 2.9 − 1.22 ≈ 1.7, nearest benchmark is 1 1/2.

Question 4

A bag of apples weighs 4 5/16 pounds. To the nearest half pound, how much does it weigh?

Accepted Answer

4 1/2 pounds

Answer

5/16 ≈ 0.3125, so 4 5/16 ≈ 4.3 lbs, which rounds to 4.5 = 4 1/2 lbs to the nearest half.

Question 5

Which best describes the estimated product of 7/8 × 8?

Accepted Answer

About 7

Answer

7/8 × 8 = 56/8 = 7 exactly.

Fraction Test Practice Test