Add 72/42 and 20/49, Solve 1 30/42 + 20/49 as a fraction

Add 72/42 and 20/49

1^st number: 1 30/42, 2^nd number: 20/49

72/42 + 20/49 is 104/49.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 49 is 294

Next, find the equivalent fraction of both fractional numbers with denominator 294
For the 1st fraction, since 42 × 7 = 294,
72/42 = 72 × 7/42 × 7 = 504/294
Likewise, for the 2nd fraction, since 49 × 6 = 294,
20/49 = 20 × 6/49 × 6 = 120/294
Add the two like fractions:
504/294 + 120/294 = 504 + 120/294 = 624/294
624/294 simplified gives 104/49
So, 72/42 + 20/49 = 104/49
In mixed form: 26/49

MathStep (Works offline)

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