ARK0111 ARK0111
  • 02-05-2021
  • Mathematics
contestada

express 4.77777..... in the form of p/q​

Respuesta :

jimrgrant1 jimrgrant1
  • 02-05-2021

Answer:

[tex]\frac{43}{9}[/tex]

Step-by-step explanation:

We require 2 equations with the repeating 7 placed after the decimal point.

let x = 4.7777... → (1)

Multiply both sides by 10

10x = 47.7777.... → (2)

Subtract (1) from (2) thus eliminating the repeating 7

9x = 43 ( divide both sides by 9 )

x = [tex]\frac{43}{9}[/tex]

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