Question

What is the fractional equivalent of the repeating decimal 0.2?(with the line on top of the 2)

a.2/99
b.2/9
c.1/5
d/2/11

Answer 1

b

Explanation:

we require 2 equations with the repeated 2 placed 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 repeated 2

9x = 2 ( divide both sides by 9 )

x =
`(2)/(9)`