Add 21/49 and 14/16
21/49 + 14/16 is 73/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 16 is 784
Next, find the equivalent fraction of both fractional numbers with denominator 784 - For the 1st fraction, since 49 × 16 = 784,
21/49 = 21 × 16/49 × 16 = 336/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
14/16 = 14 × 49/16 × 49 = 686/784 - Add the two like fractions:
336/784 + 686/784 = 336 + 686/784 = 1022/784 - 1022/784 simplified gives 73/56
- So, 21/49 + 14/16 = 73/56
In mixed form: 117/56
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/49+14/16 21/49+28/16 21/98+14/16 21/49+14/32 63/49+14/16 21/49+42/16 21/49+14/48 21/49+70/16 21/49+14/80 21/49+98/16