Question

Which of the following fractions is equivalent to a repeating decimal?

A 1/5

B 2/3

C 4/5

D 3/4

Answer 1

2/3

Explanation:

`(1)/(5)=0.2\\\\\boxed{(2)/(3)=0.\overline{6}}\\\\(4)/(5)=0.8\\\\(3)/(4)=0.75`

The fraction that results in a repeating decimal is 2/3.

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Comment on repeating decimals

Any fraction with a denominator factor other than 2 or 5 will be a repeating decimal fraction. The repeat may be as long as 1 less than the denominator. For example, 1/7 has a 6-digit repeat; 1/19 has an 18-digit repeat.