Add 4/49 and 72/30, Solve 4/49 + 2 12/30 as a fraction

Add 4/49 and 72/30

1^st number: 4/49, 2^nd number: 2 12/30

4/49 + 72/30 is 608/245.

Find the least common denominator or LCM of the two denominators:
LCM of 49 and 30 is 1470

Next, find the equivalent fraction of both fractional numbers with denominator 1470
For the 1st fraction, since 49 × 30 = 1470,
4/49 = 4 × 30/49 × 30 = 120/1470
Likewise, for the 2nd fraction, since 30 × 49 = 1470,
72/30 = 72 × 49/30 × 49 = 3528/1470
Add the two like fractions:
120/1470 + 3528/1470 = 120 + 3528/1470 = 3648/1470
3648/1470 simplified gives 608/245
So, 4/49 + 72/30 = 608/245
In mixed form: 2118/245

MathStep (Works offline)

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