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

Question

asked Dec 3, 2020 165k views

2 Answers

Hallo · Answer 1 · 2020-12-05T11:33:20+0000

Answer:

(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)