Add 21/75 and 14/49
21/75 + 14/49 is 99/175.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 49 is 3675
Next, find the equivalent fraction of both fractional numbers with denominator 3675 - For the 1st fraction, since 75 × 49 = 3675,
21/75 = 21 × 49/75 × 49 = 1029/3675 - Likewise, for the 2nd fraction, since 49 × 75 = 3675,
14/49 = 14 × 75/49 × 75 = 1050/3675 - Add the two like fractions:
1029/3675 + 1050/3675 = 1029 + 1050/3675 = 2079/3675 - 2079/3675 simplified gives 99/175
- So, 21/75 + 14/49 = 99/175
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/75+14/49 21/75+28/49 21/75+14/98 63/75+14/49 21/75+42/49 21/75+70/49 21/75+98/49