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

##### 1 Answer

Jun 2, 2016

#### 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#