Question

Convert decimal number to fraction: 6.424242…..

Answer 1

let
$x = 6.42$
let the abouve equation be equation 1
then multiply LHS and RHS by 100
hence,
$10x = 642.42$
let the above equation be equation 2

now subtract equation 1 from 2. hence,
$10x - 1x = 642.42 - 6.42$
we will obtain
$9x = 636$
now solve for 'x'
we will get the answer as
$x = 636 \div 9$
the above equation is your answer.

have a good day mate