Question

How do you divide `\frac { 6} { 13} \div \frac { 8} { 9}`?

Answer 1

`27/52`

Explanation:

The method for `color(blue)"division of fractions"` is.

`•" Leave the first fraction"`

`•" Change division to multiplication"`

`•" Invert (turn upside down) the second fraction"`

`•" Cancel factors between numerator/denominator if poss."`

`rArr6/13÷8/9`

`=6/13xx9/8larr" multiply and invert"`

`=cancel(6)^3/13xx9/cancel(8)^4larr" cancelling"`

`=(3xx9)/(13xx4)=27/52larr" in simplest form"`

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