Add 10/12 and 20/9, Solve 10/12 + 2 2/9 as a fraction

Add 10/12 and 20/9

1^st number: 10/12, 2^nd number: 2 2/9

10/12 + 20/9 is 55/18.

Find the least common denominator or LCM of the two denominators:
LCM of 12 and 9 is 36

Next, find the equivalent fraction of both fractional numbers with denominator 36
For the 1st fraction, since 12 × 3 = 36,
10/12 = 10 × 3/12 × 3 = 30/36
Likewise, for the 2nd fraction, since 9 × 4 = 36,
20/9 = 20 × 4/9 × 4 = 80/36
Add the two like fractions:
30/36 + 80/36 = 30 + 80/36 = 110/36
110/36 simplified gives 55/18
So, 10/12 + 20/9 = 55/18
In mixed form: 31/18

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad