Question

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

Answer 1

`(43)/(9)`

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 =
`(43)/(9)`