littledebbies2005
littledebbies2005 littledebbies2005
  • 17-04-2019
  • Mathematics
contestada

I Need Help Like Now!!
How is 0.136¯¯¯¯ written as a fraction in simplest form? ( The 136 has the line above it)

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jimrgrant1 jimrgrant1
  • 17-04-2019

Answer:

[tex]\frac{136}{999}[/tex]

Step-by-step 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 = [tex]\frac{136}{999}[/tex]

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