Question

What is 0.26 repeating as a fraction

Answer 1

0.26 repeating as a fraction is
`(4)/(15)`

Explanation:

Given : Expression 0.26 repeating.

To find : What is expression as a fraction?

Solution :

Let
`x=0.26666` ....(1)

Multiply both side by 10,

`10x=2.666...` .....(2)

Subtract (1) and (2),

`10x-x=(2.666...)-(0.2666...)`

`9x=2.4`

`x=(2.4)/(9)`

`x=(24)/(90)`

`x=(4)/(15)`

Therefore, 0.26 repeating as a fraction is
`(4)/(15)`