Add 72/98 and 28/27, Solve 72/98 + 1 1/27 as a fraction

Add 72/98 and 28/27

1^st number: 72/98, 2^nd number: 1 1/27

72/98 + 28/27 is 2344/1323.

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,
72/98 = 72 × 27/98 × 27 = 1944/2646
Likewise, for the 2nd fraction, since 27 × 98 = 2646,
28/27 = 28 × 98/27 × 98 = 2744/2646
Add the two like fractions:
1944/2646 + 2744/2646 = 1944 + 2744/2646 = 4688/2646
4688/2646 simplified gives 2344/1323
So, 72/98 + 28/27 = 2344/1323
In mixed form: 11021/1323

MathStep (Works offline)

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