Add 8/14 and 14/27
8/14 + 14/27 is 206/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 14 × 27 = 378,
8/14 = 8 × 27/14 × 27 = 216/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
14/27 = 14 × 14/27 × 14 = 196/378 - Add the two like fractions:
216/378 + 196/378 = 216 + 196/378 = 412/378 - 412/378 simplified gives 206/189
- So, 8/14 + 14/27 = 206/189
In mixed form: 117/189
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/14+14/27 8/14+28/27 8/28+14/27 8/14+14/54 24/14+14/27 8/14+42/27 8/42+14/27 8/14+14/81 40/14+14/27 8/14+70/27 8/70+14/27 56/14+14/27 8/14+98/27 8/98+14/27