Question

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

Answer 1

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.