Question

How do you simplify `(5 3/5)/ (2 1/7)`?

Answer 1

`2 46/75`

Explanation:

The first step is to change `color(blue)"mixed numbers to improper fractions"`

`rArr5 3/5=28/5" and "2 1/7=15/7`

`rArr28/5÷15/7" is to be calculated"`

To divide 2 fractions, use the following steps.

`• " leave the first fraction"`

`• " change division to multiplication"`

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

`• " cancel, if possible and simplify"`

`rArr28/5÷15/7`

`=28/5xx7/15larrcolor(red)" multiply and invert"`

There is no cancelling available, so

`=(28xx7)/(5xx15)`

`=196/75`

`=2 46/75larr" return as mixed number"`