Question

Express the number 49.898989...... in p/q form

Answer 1

let x = 49.898989.... 1 equ
multiply by 100
100x= 4989.898989....2 equ
2equ -1 equ
99x = 4940
x = 4940/99

Answer 2

hello bro.
now first take 49.89.... as x
next multiply it by 10
that is = 10x or 10×49.89....
now lets take it as 10x =4989.89.....
subtract x from 10x.
that gives 9x or 4989.89...-49.89...
that is 4940 =9x
now take 9 to LHS
4940/9 =x
where x=49.89...
therefore p/q of 49.89... is 4940/9