Add 14/27 and 8/14
14/27 + 8/14 is 206/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 14 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 27 × 14 = 378,
14/27 = 14 × 14/27 × 14 = 196/378 - Likewise, for the 2nd fraction, since 14 × 27 = 378,
8/14 = 8 × 27/14 × 27 = 216/378 - Add the two like fractions:
196/378 + 216/378 = 196 + 216/378 = 412/378 - 412/378 simplified gives 206/189
- So, 14/27 + 8/14 = 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: 28/27+8/14 14/27+16/14 14/54+8/14 14/27+8/28 42/27+8/14 14/27+24/14 14/81+8/14 14/27+8/42 70/27+8/14 14/27+40/14 14/27+8/70 98/27+8/14 14/27+56/14 14/27+8/98