Question

Question 2: Convert the following recurring decimals to fractions.

Give each answer in its simplest form.
(b) 0.1111...
(a) 0.5555...

Answer 1

b is
`(1)/(9)` and a is
`(5)/(9)`

Explanation:

let 0.1111 be x

0.1111...=x

10x=1.111...

now subtract 10x from x

10x-x=0.1111-1.111

9x=1

x=
`(1)/(9)`

follow the same steps for 0.5555 :)

Answer 2

(b) 1/9

(a) 5/9

(*winks and runs off ;)*)