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How is 0.136¯¯¯¯ written as a fraction in simplest form? ( The 136 has the line above it)

1 Answer

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Answer:


(136)/(999)

Explanation:

We require 2 equations with the repeating decimal after the decimal point in both equations.

The bar above 136 indicates that 136 is being repeated

let x = 0.136136...... → (1) Multiply both sides by 1000

1000x = 136.136.... → (2)

Subtract (1) from (2) to eliminate the decimal part

999x = 136 ( divide both sides by 999 )

x =
(136)/(999)

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