Question

How is 0.136¯¯¯¯ written as a fraction in simplest form?

Answer 1

Answer:

$\frac{3}{22}$

Step-by-step explanation:

the bar above 36 means that the digits 36 are being repeated

we require 2 equations with the repeating digits placed after the decimal point.

let x = 0.13636.. ( multiply both sides by 10 and 1000 )

10x = 1.3636... (1)

1000x = 136.3636... (2)

subtract (1) from (2) thus eliminating the repeating digits

990x = 135 ( divide both sides by 990 )

x = $\frac{135}{990}$ = $\frac{3}{22}$ ← in simplest form