Add 10/15 and 14/49
10/15 + 14/49 is 20/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 49 is 735
Next, find the equivalent fraction of both fractional numbers with denominator 735 - For the 1st fraction, since 15 × 49 = 735,
10/15 = 10 × 49/15 × 49 = 490/735 - Likewise, for the 2nd fraction, since 49 × 15 = 735,
14/49 = 14 × 15/49 × 15 = 210/735 - Add the two like fractions:
490/735 + 210/735 = 490 + 210/735 = 700/735 - 700/735 simplified gives 20/21
- So, 10/15 + 14/49 = 20/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/15+14/49 10/15+28/49 10/30+14/49 10/15+14/98 30/15+14/49 10/15+42/49 10/45+14/49 50/15+14/49 10/15+70/49 10/75+14/49 70/15+14/49 10/15+98/49