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