Add 12/27 and 42/49
12/27 + 42/49 is 82/63.
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,
12/27 = 12 × 49/27 × 49 = 588/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
42/49 = 42 × 27/49 × 27 = 1134/1323 - Add the two like fractions:
588/1323 + 1134/1323 = 588 + 1134/1323 = 1722/1323 - 1722/1323 simplified gives 82/63
- So, 12/27 + 42/49 = 82/63
In mixed form: 119/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 24/27+42/49 12/27+84/49 12/54+42/49 12/27+42/98 36/27+42/49 12/81+42/49 60/27+42/49 84/27+42/49