Add 40/49 and 14/16
40/49 + 14/16 is 663/392.
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,
40/49 = 40 × 16/49 × 16 = 640/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
14/16 = 14 × 49/16 × 49 = 686/784 - Add the two like fractions:
640/784 + 686/784 = 640 + 686/784 = 1326/784 - 1326/784 simplified gives 663/392
- So, 40/49 + 14/16 = 663/392
In mixed form: 1271/392
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/49+14/16 40/49+28/16 40/98+14/16 40/49+14/32 40/49+42/16 40/49+14/48 40/49+70/16 40/49+14/80 40/49+98/16