Question

How is 0.136¯¯¯¯ written as a fraction in simplest form?

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Answer 1

`(3)/(22)`

Explanation:

the bar above 36 means that the digits 36 are being repeated

we require 2 equations with the repeating digits placed after the decimal point.

let x = 0.13636.. ( multiply both sides by 10 and 1000 )

10x = 1.3636... (1)

1000x = 136.3636... (2)

subtract (1) from (2) thus eliminating the repeating digits

990x = 135 ( divide both sides by 990 )

x =
`(135)/(990)` =
`(3)/(22)` ← in simplest form