Add 8/49 and 35/16
1st number: 8/49, 2nd number: 2 3/16
8/49 + 35/16 is 1843/784.
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,
35/16 = 35 × 49/16 × 49 = 1715/784 - Add the two like fractions:
128/784 + 1715/784 = 128 + 1715/784 = 1843/784 - So, 8/49 + 35/16 = 1843/784
In mixed form: 2275/784
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/49+35/16 8/49+70/16 8/98+35/16 8/49+35/32 24/49+35/16 8/49+35/48 40/49+35/16 8/49+35/80 56/49+35/16