Add 42/21 and 40/27
1st number: 2 0/21, 2nd number: 1 13/27
42/21 + 40/27 is 94/27.
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,
42/21 = 42 × 9/21 × 9 = 378/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
40/27 = 40 × 7/27 × 7 = 280/189 - Add the two like fractions:
378/189 + 280/189 = 378 + 280/189 = 658/189 - 658/189 simplified gives 94/27
- So, 42/21 + 40/27 = 94/27
In mixed form: 313/27
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/21+40/27 42/21+80/27 42/21+40/54 42/63+40/27 42/21+40/81