Question

Express 0.361 as a fraction
where the 6 and 1 is recurring

Answer 1

179/495

Explanation:

x = 0.3616161.......... ---------------(I)

Multiply by 1000

1000x = 361.616161......

Multiply (I) by 10

10x = 3.616161........

1000x = 361.6161......

10x = 3.6161........ {Now subtract}

990x= 358

x = 358/990

x = 179/495