Question

Which simplified fraction is equal to 0.53? 1) 24/45 2) 8/15 3) 48/90 4) 5/9

Answer 1

`x=(48)/(90)`

Explanation:

0.53, find the simplified fraction

0.53 can be written as
`(0.53)/(1)`

Here 3 is repeating

`x = 0.533333........`

Multiply by 10

`10x= 5.3333333`

Now we subtract first equation

`10x= 5.3333333`

`x = 0.533333........`

`--------------------------------------`

`9x=4.797...`

`9x=4.8`

Divide by 9 on both sides

`x=(4.8)/(9)`

Now multiply top and bottom by 10

`x=(48)/(90)`