Add 8/49 and 21/16
1st number: 8/49, 2nd number: 1 5/16
8/49 + 21/16 is 1157/784.
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,
8/49 = 8 × 16/49 × 16 = 128/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
21/16 = 21 × 49/16 × 49 = 1029/784 - Add the two like fractions:
128/784 + 1029/784 = 128 + 1029/784 = 1157/784 - So, 8/49 + 21/16 = 1157/784
In mixed form: 1373/784
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/49+21/16 8/49+42/16 8/98+21/16 8/49+21/32 24/49+21/16 8/49+63/16 8/49+21/48 40/49+21/16 8/49+21/80 56/49+21/16