Question

Express 0.54bar recurring decimal as fraction in their simplest form

Answer 1

LET X = 0.54545454.......INFINITE
SO, 100X = 54.54545454....INFINITE
= 100X = 99X + X
= 54.54545454..INFINITE = 99X + 0.54545454....INFINITE [PUTTING VALUE OF X AND 100X]
= 54.545454...INFINITE-0.545454...INFINITE = 99X
= 54 = 99X
= 54/99 = X
= 6/11 = X
OR, X = 6/11 ( ANSWER)

Answer 2

Ans.

6/11

Hope it helps you!!!!