Add 10/49 and 9/16
10/49 + 9/16 is 601/784.
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,
10/49 = 10 × 16/49 × 16 = 160/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
9/16 = 9 × 49/16 × 49 = 441/784 - Add the two like fractions:
160/784 + 441/784 = 160 + 441/784 = 601/784 - So, 10/49 + 9/16 = 601/784
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/49+9/16 10/49+18/16 10/98+9/16 10/49+9/32 30/49+9/16 10/49+27/16 10/49+9/48 50/49+9/16 10/49+45/16 10/49+9/80 70/49+9/16 10/49+63/16