Question

0.16 (6 repeating) as a simplified fraction

Answer 1

`(1)/(6)`

Explanation:

We require to create 2 equations with the repeating digit (6) after the decimal point.

let x = 0.166.... ( multiply both sides by 10 and 100 )

10x = 1.66.... → (1)

100x = 16.66..... → (2)

Subtract (1) from (2) eliminating the repeating decimal

90x = 15 ( divide both sides by 90 )

x =
`(15)/(90)` =
`(1)/(6)`

Thus

0.166...... =
`(1)/(6)`