Question

Write 0.2 repeating as a fraction in simplest form.

Answer 1

2/9

Explanation:

We require to create 2 fractions with the repeating 2 after the decimal point.

let x = 0.22.... → (1) ← multiply both sides by 10

10x = 2.22....... → (2)

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

9x = 2 ( divide both sides by 9 )

x =

Thus

0.22..... =

Answer 2

`(2)/(9)`

Explanation:

We require to create 2 fractions with the repeating 2 after the decimal point.

let x = 0.22.... → (1) ← multiply both sides by 10

10x = 2.22....... → (2)

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

9x = 2 ( divide both sides by 9 )

x =
`(2)/(9)`

Thus

0.22..... =
`(2)/(9)`