Add 16/12 and 21/35
1st number: 1 4/12, 2nd number: 21/35
16/12 + 21/35 is 29/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 35 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 12 × 35 = 420,
16/12 = 16 × 35/12 × 35 = 560/420 - Likewise, for the 2nd fraction, since 35 × 12 = 420,
21/35 = 21 × 12/35 × 12 = 252/420 - Add the two like fractions:
560/420 + 252/420 = 560 + 252/420 = 812/420 - 812/420 simplified gives 29/15
- So, 16/12 + 21/35 = 29/15
In mixed form: 114/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 32/12+21/35 16/12+42/35 16/24+21/35 16/12+21/70 48/12+21/35 16/12+63/35 16/36+21/35 80/12+21/35 16/60+21/35 16/84+21/35