Add 9/49 and 14/16
9/49 + 14/16 is 415/392.
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,
9/49 = 9 × 16/49 × 16 = 144/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
14/16 = 14 × 49/16 × 49 = 686/784 - Add the two like fractions:
144/784 + 686/784 = 144 + 686/784 = 830/784 - 830/784 simplified gives 415/392
- So, 9/49 + 14/16 = 415/392
In mixed form: 123/392
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/49+14/16 9/49+28/16 9/98+14/16 9/49+14/32 27/49+14/16 9/49+42/16 9/49+14/48 45/49+14/16 9/49+70/16 9/49+14/80 63/49+14/16 9/49+98/16