Question

How do you write 76% as a fraction in simplest form?

Answer 1

See the full explanation below:

Explanation:

"Percent" or "%" means "out of 100" or "per 100", Therefore 76% can be written as `76/100`.

`76/100 = (4 xx 19)/(4 xx 25) = (color(red)(cancel(color(black)(4))) xx 19)/(color(red)(cancel(color(black)(4))) xx 25) = 19/25`

Answer 2

`19/25`

Explanation:

per cent means `color(blue)"out of one hundred"`

`rArr76%=76/100`

To simplify the fraction, find the `color(blue)"highest common factor"` ( HCF) that will divide into both 76 and 100

The HCF of 76 and 100 is 4

`rArr76/100=(76-:4)/(100-:4)=19/25larrcolor(red)"in simplest form"`

This calculation is usually expressed using `color(blue)"cancelling"`

`rArr76/100=cancel(76)^(19)/cancel(100)^(25)=19/25larrcolor(red)"in simplest form"`

A fraction is in `color(red)"simplest form"` when no other factor but 1 will divide into the numerator/denominator.