How do you divide #(1\frac { 1} { 3} \div 2\frac { 2} { 9} ) #?

2 Answers

#3/5#

Explanation:

I'm first going to put these fractions into imperfect form:

#4/3 -: 20/9#

When dividing fractions, we can instead multiply by the reciprocal:

#4/3 xx 9/20#

Before moving on, I'll cancel terms:

#cancel4/cancel3 xx (cancel3xx3)/(cancel4xx5)=3/5#

Mar 2, 2018

#3/5#

Explanation:

Turn both fractions into improper fractions
#4/3-:20/9#
Then we flip the 2nd fraction and change the divide sign to a multiplication sign
#4/3xx9/20#
We multiply the denominator together and we multiply the numerator together
#(4xx9)/(3xx20) = 36/30#
We can simplify this answer with the common factor of 3. Therefore the answer is #3/5#