Add 14/49 and 30/9
1st number: 14/49, 2nd number: 3 3/9
14/49 + 30/9 is 76/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 9 is 441
Next, find the equivalent fraction of both fractional numbers with denominator 441 - For the 1st fraction, since 49 × 9 = 441,
14/49 = 14 × 9/49 × 9 = 126/441 - Likewise, for the 2nd fraction, since 9 × 49 = 441,
30/9 = 30 × 49/9 × 49 = 1470/441 - Add the two like fractions:
126/441 + 1470/441 = 126 + 1470/441 = 1596/441 - 1596/441 simplified gives 76/21
- So, 14/49 + 30/9 = 76/21
In mixed form: 313/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/49+30/9 14/49+60/9 14/98+30/9 14/49+30/18 42/49+30/9 14/49+90/9 14/49+30/27 70/49+30/9 14/49+30/45 98/49+30/9 14/49+30/63