Question

Write 5.3421 (bar on 21) in p/q form

Answer 1

`(52887)/(9900)`

Explanation:

We require 2 equations with the repeating 21 placed after the decimal point.

let x = 5.34212121 ( multiply both sides by 100 and 10000 )

100x = 534.2121... → (1)

10000x = 53421.2121... → (2)

Subtract (1) from (2) thus eliminating the repeating 21

9900x = 52887 ( divide both sides by 9900 )

x =
`(52887)/(9900)`