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

1 Answer
Jan 17, 2017

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.