Add 49/35 and 21/16
1st number: 1 14/35, 2nd number: 1 5/16
49/35 + 21/16 is 217/80.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 16 is 560
Next, find the equivalent fraction of both fractional numbers with denominator 560 - For the 1st fraction, since 35 × 16 = 560,
49/35 = 49 × 16/35 × 16 = 784/560 - Likewise, for the 2nd fraction, since 16 × 35 = 560,
21/16 = 21 × 35/16 × 35 = 735/560 - Add the two like fractions:
784/560 + 735/560 = 784 + 735/560 = 1519/560 - 1519/560 simplified gives 217/80
- So, 49/35 + 21/16 = 217/80
In mixed form: 257/80
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/35+21/16 49/35+42/16 49/70+21/16 49/35+21/32 49/35+63/16 49/35+21/48 49/35+21/80