Add 21/18 and 30/49, Solve 1 3/18 + 30/49 as a fraction

Add 21/18 and 30/49

1^st number: 1 3/18, 2^nd number: 30/49

21/18 + 30/49 is 523/294.

Find the least common denominator or LCM of the two denominators:
LCM of 18 and 49 is 882

Next, find the equivalent fraction of both fractional numbers with denominator 882
For the 1st fraction, since 18 × 49 = 882,
21/18 = 21 × 49/18 × 49 = 1029/882
Likewise, for the 2nd fraction, since 49 × 18 = 882,
30/49 = 30 × 18/49 × 18 = 540/882
Add the two like fractions:
1029/882 + 540/882 = 1029 + 540/882 = 1569/882
1569/882 simplified gives 523/294
So, 21/18 + 30/49 = 523/294
In mixed form: 1229/294

MathStep (Works offline)

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