Question

express 0.5292929..... in p/q form

Answer 1

$x = 0.5292......$

$100x = 52.929292.....$
$100x = 52 + \frac{92}{99}$
$100x = \frac{5148 + 92}{99}$
$100x = \frac{5240}{99}$
$x = \frac{5240}{9900}$
$x = \frac{524}{990}$
or,x =262/495

Answer 2

Hey !!!!!!!

This is your answer.

your answer is 524/990 =262/495 Ans_____

It is solved by simple method.if u want to know it then comment me.

In long ,we can solve it as_________

let x =o.5292929..........(1)

multiplying 10 on both sides

10x =5.292929...........(2)

Multiplying 10 on both sides

100x =52.92929..........(3)

Multiplying 10 on both sides

1000x = 529.2929.........(4)

Subtracting eq (2) from eq(4)

1000x =529.2929........
10x =5.2929...........
___________________
990x =524

Therefore ,x = 524/990
=262/495 Ans________

Hope this method will help u.☺️☺️☺️☺️☺️