Add 35/21 and 42/27
1st number: 1 14/21, 2nd number: 1 15/27
35/21 + 42/27 is 29/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 27 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 21 × 9 = 189,
35/21 = 35 × 9/21 × 9 = 315/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
42/27 = 42 × 7/27 × 7 = 294/189 - Add the two like fractions:
315/189 + 294/189 = 315 + 294/189 = 609/189 - 609/189 simplified gives 29/9
- So, 35/21 + 42/27 = 29/9
In mixed form: 32/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/21+42/27 35/21+84/27 35/42+42/27 35/21+42/54 35/63+42/27 35/21+42/81