Add 20/27 and 42/49
20/27 + 42/49 is 302/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 49 is 1323
Next, find the equivalent fraction of both fractional numbers with denominator 1323 - For the 1st fraction, since 27 × 49 = 1323,
20/27 = 20 × 49/27 × 49 = 980/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
42/49 = 42 × 27/49 × 27 = 1134/1323 - Add the two like fractions:
980/1323 + 1134/1323 = 980 + 1134/1323 = 2114/1323 - 2114/1323 simplified gives 302/189
- So, 20/27 + 42/49 = 302/189
In mixed form: 1113/189
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/27+42/49 20/27+84/49 20/54+42/49 20/27+42/98 60/27+42/49 20/81+42/49