PSAT Math : How to find the decimal equivalent of a fraction

Study concepts, example questions & explanations for PSAT Math

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Example Questions

Example Question #4 : Decimals

Which of the following numbers is between 1/5 and 1/6?

Possible Answers:

0.13

0.19

0.25

0.16

0.22

Correct answer:

0.19

Explanation:

Long division shows that 1/5 = 0.20 and 1/6 = 0.16666...  0.13 < 0.16 < 1/6 < 0.19 < 1/5 < 0.22 < 0.25.

Example Question #2 : Decimals With Fractions

Trevor, James, and Will were each given a candy bar. Trevor ate 7/12 of his and Will ate 20% of his. If James ate more than Will and less than Trevor, what amount could James have eaten?

Possible Answers:

9/15

3/5

2/7

1/10

8/9

Correct answer:

2/7

Explanation:

Turn Trevor and Will’s amounts into decimals to compare: 20% = 0.20  and 7/12 = 0.5083 rounded. When the answer choices are converted into decimals, 2/7 = 0.2871 is the only value between 0.20 and 0.5083.

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