Add 3/49 and 14/16
3/49 + 14/16 is 367/392.
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,
3/49 = 3 × 16/49 × 16 = 48/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
14/16 = 14 × 49/16 × 49 = 686/784 - Add the two like fractions:
48/784 + 686/784 = 48 + 686/784 = 734/784 - 734/784 simplified gives 367/392
- So, 3/49 + 14/16 = 367/392
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 6/49+14/16 3/49+28/16 3/98+14/16 3/49+14/32 9/49+14/16 3/49+42/16 3/49+14/48 15/49+14/16 3/49+70/16 3/49+14/80 21/49+14/16 3/49+98/16