Question

How do you multiply `6 1/2 div 1 1/8`?

Answer 1

`52/9=5 7/9`

Explanation:

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

`rArr6 1/2=6+1/2=12/2+1/2=13/2`

and `1 1/8=1+1/8=8/8+1/8=9/8`

`rArr6 1/2÷1 1/8=13/2÷9/8`

To divide 2 fractions : change ÷ to × and invert (turn) the 2nd fraction.

`rArr13/2÷9/8=13/2xx8/9`

now that we have multiplication we can cancel out any common factors between the numerators and denominators.

`rArr13/(cancel(2)^1)xx(cancel(8)^4)/9=(13xx4)/(1xx9)=52/9=5 7/9`