Add 6/27 and 14/7
1st number: 6/27, 2nd number: 2 0/7
6/27 + 14/7 is 20/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 7 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 27 × 7 = 189,
6/27 = 6 × 7/27 × 7 = 42/189 - Likewise, for the 2nd fraction, since 7 × 27 = 189,
14/7 = 14 × 27/7 × 27 = 378/189 - Add the two like fractions:
42/189 + 378/189 = 42 + 378/189 = 420/189 - 420/189 simplified gives 20/9
- So, 6/27 + 14/7 = 20/9
In mixed form: 22/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 12/27+14/7 6/27+28/7 6/54+14/7 18/27+14/7 6/27+42/7 6/81+14/7 6/27+14/21 30/27+14/7 6/27+70/7 6/27+14/35 42/27+14/7 6/27+98/7 6/27+14/49