zerharfilaja zerharfilaja
  • 01-05-2021
  • Mathematics
contestada

Represent 0.533 (only the last 3 is bar number) into a rational number

Respuesta :

jimrgrant1 jimrgrant1
  • 01-05-2021

Answer:

[tex]\frac{8}{15}[/tex]

Step-by-step explanation:

We require 2 equations with the repeating 3 placed after the decimal point.

let x = 0.5333.. ( multiply both sides by 10 and 100 )

10x = 5.333... → (1)

100x = 53.333... → (2)

Subtract (1) from (2) tus eliminating the repeating 3

90x = 48 ( divide both sides by 90 )

x = [tex]\frac{48}{90}[/tex] = [tex]\frac{8}{15}[/tex]

Answer Link
JungKookLuver
JungKookLuver JungKookLuver
  • 19-10-2021

Answer:

IT IS 8/15

Step-by-step explanation: Divide and multiply the fraction from 100 to tens

Answer Link

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