Question

Which fraction below represents a repeating decimal?A) 1/4B) 6/4C) 19/2D) 22/12

Answer 1

A recurring/repeating decimal exists when decimal numbers repeat forever. Examples are 0.23232323..., 0.111111..., and so on.

To check if a fraction is a recurring decimal, we need to divide the numbers and check the trend of the decimal.

OPTION A: 1/4

Dividing the number as shown below, we have:

Therefore, this is not a repeating decimal.

OPTION B: 6/4

Therefore, this is not a repeating decimal.

OPTION C: 19/2

Therefore, this is not a repeating decimal.

OPTION D: 22/12

Since 3 is repeated continuously, THIS IS A REPEATING DECIMAL.

The correct option is OPTION D.