Add 30/14 and 27/49, Solve 2 2/14 + 27/49 as a fraction

Add 30/14 and 27/49

1^st number: 2 2/14, 2^nd number: 27/49

30/14 + 27/49 is 132/49.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 49 is 98

Next, find the equivalent fraction of both fractional numbers with denominator 98
For the 1st fraction, since 14 × 7 = 98,
30/14 = 30 × 7/14 × 7 = 210/98
Likewise, for the 2nd fraction, since 49 × 2 = 98,
27/49 = 27 × 2/49 × 2 = 54/98
Add the two like fractions:
210/98 + 54/98 = 210 + 54/98 = 264/98
264/98 simplified gives 132/49
So, 30/14 + 27/49 = 132/49
In mixed form: 234/49

MathStep (Works offline)

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