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

Study concepts, example questions & explanations for ACT Math

varsity tutors app store varsity tutors android store varsity tutors amazon store varsity tutors ibooks store

Example Questions

Example Question #1 : Decimals

When 5/11 is written as a decimal, what is the 100th digit to the right of the decimal point?

Possible Answers:

1

4

0

2

5

Correct answer:

5

Explanation:

When 5 is divided by 11, the decimal is 0.45 repeating, with a 5 in the hundreths place. The key here is to recognize that 100 is an even number, and the 5 in 0.45 is two places to the right of the decimal point (2 also being an even number).

Example Question #2 : Decimals With Fractions

Find  the sum of the following:

 

Possible Answers:

Correct answer:

Explanation:

To get the decimal from a fraction, divide the numerator by the denominator

Example Question #1 : Decimals

Find the sum to the nearest hundredth:

Possible Answers:

Correct answer:

Explanation:

1. Convert the fractions to decimals by division:

2. Add the corresponding whole numbers to the decimals:

3. Add the two decimals:

Example Question #4 : Decimals

 If can equal which of the following?

Possible Answers:

None of the other answer choices are correct

Correct answer:

Explanation:

Convert all of the fractions to decimals. Thus, x is contained within the range of 0.33 < x < 0.76. The answers choices become 1/4 = 0.25, 4/12 = 0.33, 2/5 = 0.4, and 5/16 = 0.3125, respectively.  Therefore, the only answer which is within the desired range is 2/5.

Learning Tools by Varsity Tutors

Incompatible Browser

Please upgrade or download one of the following browsers to use Instant Tutoring: