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

##### 1 Answer

Feb 19, 2017

#### 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"#