Add 9/12 and 21/35
9/12 + 21/35 is 27/20.
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,
9/12 = 9 × 35/12 × 35 = 315/420 - Likewise, for the 2nd fraction, since 35 × 12 = 420,
21/35 = 21 × 12/35 × 12 = 252/420 - Add the two like fractions:
315/420 + 252/420 = 315 + 252/420 = 567/420 - 567/420 simplified gives 27/20
- So, 9/12 + 21/35 = 27/20
In mixed form: 17/20
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/12+21/35 9/12+42/35 9/24+21/35 9/12+21/70 27/12+21/35 9/12+63/35 9/36+21/35 45/12+21/35 9/60+21/35 63/12+21/35 9/84+21/35