Add 30/21 and 63/49, Solve 1 9/21 + 1 14/49 as a fraction

Add 30/21 and 63/49

1^st number: 1 9/21, 2^nd number: 1 14/49

30/21 + 63/49 is 19/7.

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 49 is 147

Next, find the equivalent fraction of both fractional numbers with denominator 147
For the 1st fraction, since 21 × 7 = 147,
30/21 = 30 × 7/21 × 7 = 210/147
Likewise, for the 2nd fraction, since 49 × 3 = 147,
63/49 = 63 × 3/49 × 3 = 189/147
Add the two like fractions:
210/147 + 189/147 = 210 + 189/147 = 399/147
399/147 simplified gives 19/7
So, 30/21 + 63/49 = 19/7
In mixed form: 25/7

MathStep (Works offline)

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