Add 72/98 and 30/21, Solve 72/98 + 1 9/21 as a fraction

Add 72/98 and 30/21

1^st number: 72/98, 2^nd number: 1 9/21

72/98 + 30/21 is 106/49.

Find the least common denominator or LCM of the two denominators:
LCM of 98 and 21 is 294

Next, find the equivalent fraction of both fractional numbers with denominator 294
For the 1st fraction, since 98 × 3 = 294,
72/98 = 72 × 3/98 × 3 = 216/294
Likewise, for the 2nd fraction, since 21 × 14 = 294,
30/21 = 30 × 14/21 × 14 = 420/294
Add the two like fractions:
216/294 + 420/294 = 216 + 420/294 = 636/294
636/294 simplified gives 106/49
So, 72/98 + 30/21 = 106/49
In mixed form: 28/49

MathStep (Works offline)

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