Add 36/98 and 56/27, Solve 36/98 + 2 2/27 as a fraction

Add 36/98 and 56/27

1^st number: 36/98, 2^nd number: 2 2/27

36/98 + 56/27 is 3230/1323.

Find the least common denominator or LCM of the two denominators:
LCM of 98 and 27 is 2646

Next, find the equivalent fraction of both fractional numbers with denominator 2646
For the 1st fraction, since 98 × 27 = 2646,
36/98 = 36 × 27/98 × 27 = 972/2646
Likewise, for the 2nd fraction, since 27 × 98 = 2646,
56/27 = 56 × 98/27 × 98 = 5488/2646
Add the two like fractions:
972/2646 + 5488/2646 = 972 + 5488/2646 = 6460/2646
6460/2646 simplified gives 3230/1323
So, 36/98 + 56/27 = 3230/1323
In mixed form: 2584/1323

MathStep (Works offline)

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