Seudónimo Seudónimo
  • 02-10-2020
  • Mathematics
contestada

write 0.131313 as a fraction

Respuesta :

jimrgrant1 jimrgrant1
  • 02-10-2020

Answer:

[tex]\frac{13}{99}[/tex]

Step-by-step explanation:

We require to create 2 equations with the repeating numbers after the decimal point.

let x = 0.1313.... → (1) ( multiply both sides by 100 )

100x = 13.1313.... → (2)

Subtract (1) from (2) thus eliminating the repeating numbers

99x = 13 ( divide both sides by 99 )

x = [tex]\frac{13}{99}[/tex]

That is 0.1313.... = [tex]\frac{13}{99}[/tex]

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