Add 21/12 and 9/35
1st number: 1 9/12, 2nd number: 9/35
21/12 + 9/35 is 281/140.
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,
21/12 = 21 × 35/12 × 35 = 735/420 - Likewise, for the 2nd fraction, since 35 × 12 = 420,
9/35 = 9 × 12/35 × 12 = 108/420 - Add the two like fractions:
735/420 + 108/420 = 735 + 108/420 = 843/420 - 843/420 simplified gives 281/140
- So, 21/12 + 9/35 = 281/140
In mixed form: 21/140
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/12+9/35 21/12+18/35 21/24+9/35 21/12+9/70 63/12+9/35 21/12+27/35 21/36+9/35 21/12+45/35 21/60+9/35 21/12+63/35 21/84+9/35