Add 36/42 and 8/9, Solve 36/42 + 8/9 as a fraction

Add 36/42 and 8/9

36/42 + 8/9 is 110/63.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 9 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 42 × 3 = 126,
36/42 = 36 × 3/42 × 3 = 108/126
Likewise, for the 2nd fraction, since 9 × 14 = 126,
8/9 = 8 × 14/9 × 14 = 112/126
Add the two like fractions:
108/126 + 112/126 = 108 + 112/126 = 220/126
220/126 simplified gives 110/63
So, 36/42 + 8/9 = 110/63
In mixed form: 147/63

MathStep (Works offline)

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