# How do you simplify #(4/5)/(6 2/3)#?

##### 3 Answers

When you see a mixed number, get rid of it!

#### Explanation:

Therefore, your complex fraction is equivalent to

Now you are simply dividing two ordinary fractions. "Invert and multiply."

#### Explanation:

To simplify

#4/5-:6 2/3# follow the steps shown, changing any

#color(blue)" mixed numbers to improper fractions"#

#rArr6 2/3=20/3#

#• " leave the first fraction"#

#• " change division to multiplication"#

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

#• " cancel, if possible, and simplify"#

#rArr4/5xx3/20larrcolor(red)" multiply and invert"#

#=cancel(4)^1/5xx3/cancel(20)^5larrcolor(red)" cancelling by 4"# Multiply remaining values on numerator/denominator.

#=(1xx3)/(5xx5)#

#=3/25#

#### Explanation:

The complex fraction