thaywatchinjay thaywatchinjay
  • 21-08-2020
  • Mathematics
contestada

convert 2.16161616 to a rational number in the form of a/b

Respuesta :

jimrgrant1 jimrgrant1
  • 21-08-2020

Answer:

[tex]\frac{214}{99}[/tex]

Step-by-step explanation:

We require to create 2 equations with the repeating digits after the decimal point. Then by subtracting them we eliminate the repeating part.

let x = 2.1616.... → (1)) ← multiply both sides by 100

100x = 216.1616..... → (2)

Subtract (1) from (2)

99x = 214 ( divide both sides by 99 )

x = [tex]\frac{214}{99}[/tex]

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