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

3 Answers
Apr 6, 2017

Answer:

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

Explanation:

#6 2/3 = 20/3#.

Therefore, your complex fraction is equivalent to

#(4/5) / (20/3)#.

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

Apr 6, 2017

Answer:

#3/25#

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#

Apr 6, 2017

Answer:

#3/25#

Explanation:

The complex fraction #(4/5)/(6 2/3)# can also be written as:

#(4/5) div(6 2/3)" "# change to improper fractions

#= 4/5 div 20/3" "larr# multiply by the reciprocal

#=cancel4/5 xx3/cancel20^5#

#=3/25#