How do you simplify #(2 2/9)/ (3 1/3)#?

1 Answer
Jan 17, 2017

Answer:

The final answer will be #2/3#. The method used to get there is shown below...

Explanation:

First, you must change both into improper fractions

#2 2/9 = 20/9#

#3 1/3 = 10/3#

Now, when we divide by a fraction it is the same as multiplying by the reciprocal of that fraction, so

#20/9-:10/3=20/9 xx 3/10 #

Multiply the two numerators to get the numerator of the answer, then do the same with the two denominators:

#(20xx3)/(9xx10)=60/90# which can be simplified to #2/3# by dividing both values by 30.