Which simplified fraction represents 0.45 repeating?

Question

asked Nov 13, 2018 91.2k views

2 Answers

Vbarbarosh · Answer 1 · 2018-11-20T00:00:21+0000

Answer: Our required simplified fraction is

Explanation:

Since we have given that

$0.\bar{45}$

We need to find the simplified fraction.

$Let\ x=0.\bar{45}=0.45454545.......-----------------------(1)$

Multiplying by 100 on both the sides, we get that

100x=45.4545454545.........---------------------(2)

Subtracting (2) from (1), we get that

$100x-x=45.454545........0.454545......\\\\99x=45\\\\x=(45)/(99)\\\\x=(5)/(11)$

Hence, our required simplified fraction is