Add 36/72 and 10/9, Solve 36/72 + 1 1/9 as a fraction

Add 36/72 and 10/9

1^st number: 36/72, 2^nd number: 1 1/9

36/72 + 10/9 is 29/18.

Find the least common denominator or LCM of the two denominators:
LCM of 72 and 9 is 72

Next, find the equivalent fraction of both fractional numbers with denominator 72
For the 1st fraction, since 72 × 1 = 72,
36/72 = 36 × 1/72 × 1 = 36/72
Likewise, for the 2nd fraction, since 9 × 8 = 72,
10/9 = 10 × 8/9 × 8 = 80/72
Add the two like fractions:
36/72 + 80/72 = 36 + 80/72 = 116/72
116/72 simplified gives 29/18
So, 36/72 + 10/9 = 29/18
In mixed form: 111/18

MathStep (Works offline)

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