Question

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

Answer 1

To find the fraction that represents a repeating decimal, we need to divide the numerator by the denominator (Numerator is the top number, the denominator is the bottom number).

Option A:
`(1)/(4)`

`1/4=0.25`

`0.25` is not a repeating decimal so we can cross it out.

Option B:
`(6)/(4)`

`6/4=1.5`

`1.5` is not a repeating decimal so we can cross this out.

Option C:
`(19)/(2)`

`19/2=9.5`

`9.5` is not a repeating decimal so we can also cross this out.

Option D:
`(22)/(12)`

`22/12=1.83333333333`

`1.83333333333` is a repeating decimal so this would be your option.

ANSWER: Option D

Hope this helps!

Answer 2

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.