Question

How do you divide `\frac { 7} { 12} \div \frac { 1} { 3}`?

Answer 1

`7/4`

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 common factors if possible"`

`rArr7/12÷1/3`

`=7/12xx3/1larr" multiply and invert"`

`=7/cancel(12)^4xxcancel(3)^1/1larr" cancelling"`

`=(7xx1)/(4xx1)=7/4larr" in simplest form"`

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