Add 14/7 and 49/27
1st number: 2 0/7, 2nd number: 1 22/27
14/7 + 49/27 is 103/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 27 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 7 × 27 = 189,
14/7 = 14 × 27/7 × 27 = 378/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
49/27 = 49 × 7/27 × 7 = 343/189 - Add the two like fractions:
378/189 + 343/189 = 378 + 343/189 = 721/189 - 721/189 simplified gives 103/27
- So, 14/7 + 49/27 = 103/27
In mixed form: 322/27
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/7+49/27 14/7+98/27 14/7+49/54 42/7+49/27 14/21+49/27 14/7+49/81 70/7+49/27 14/35+49/27 98/7+49/27 14/49+49/27