Add 49/27 and 36/84, Solve 1 22/27 + 36/84 as a fraction

Add 49/27 and 36/84

1^st number: 1 22/27, 2^nd number: 36/84

49/27 + 36/84 is 424/189.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 84 is 756

Next, find the equivalent fraction of both fractional numbers with denominator 756
For the 1st fraction, since 27 × 28 = 756,
49/27 = 49 × 28/27 × 28 = 1372/756
Likewise, for the 2nd fraction, since 84 × 9 = 756,
36/84 = 36 × 9/84 × 9 = 324/756
Add the two like fractions:
1372/756 + 324/756 = 1372 + 324/756 = 1696/756
1696/756 simplified gives 424/189
So, 49/27 + 36/84 = 424/189
In mixed form: 246/189

MathStep (Works offline)

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