Question

How do you re-write 0.7 repeating as a simplified fraction?

Answer 1

`(7)/(9)`

Explanation:

Given

0.77......

We require 2 equations with the repeating part after the decimal point.

let x = 0.77.... (1) ← multiply both sides by 10

10x = 7.77.... (2)

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

9x = 7 ( divide both sides by 9 )

x =
`(7)/(9)`

Answer 2

7/10

Explanation:

because .7*10 = 70 and it would be 70/100 so you simplify it to 7/10