Add 30/14 and 16/49
1st number: 2 2/14, 2nd number: 16/49
30/14 + 16/49 is 121/49.
Steps for adding fractions
- 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,
16/49 = 16 × 2/49 × 2 = 32/98 - Add the two like fractions:
210/98 + 32/98 = 210 + 32/98 = 242/98 - 242/98 simplified gives 121/49
- So, 30/14 + 16/49 = 121/49
In mixed form: 223/49
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/14+16/49 30/14+32/49 30/28+16/49 30/14+16/98 90/14+16/49 30/14+48/49 30/42+16/49 30/14+80/49 30/70+16/49 30/98+16/49