ACT Math : Decimals with Fractions

Study concepts, example questions & explanations for ACT Math

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Example Questions

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Example Question #131 : Fractions

Write the following fraction as a decimal rounded to three decimal places: 

Possible Answers:

Correct answer:

Explanation:

This is a problem best solved with a calculator, but we will also cover how to work it out by hand, as well as how to eliminate a few answers.

The given fraction is very close to , which means it should just be a little below . Eliminate any answers which are greater than . You can solve this problem more precisely by using your calculator; by dividing  by , you end up with the answer . Rounding to three decimal places means rounding that answer up to , the correct answer.

To work this out by hand, set the problem up as division problem with  underneath the division sign:

Fraction1516

Example Question #1 : Decimals

Possible Answers:

0.05

0.04

0.10

0.07

0.01

Correct answer:

0.07

Explanation:

Multiply numerator by the other numerator and multiply the denominator by the other denominator for multiplication. To divide fractions, switch numerator and denominator and treat it as multiplication. The answer is 0.07.

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