Add 12/14 and 16/27
12/14 + 16/27 is 274/189.
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,
12/14 = 12 × 27/14 × 27 = 324/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
16/27 = 16 × 14/27 × 14 = 224/378 - Add the two like fractions:
324/378 + 224/378 = 324 + 224/378 = 548/378 - 548/378 simplified gives 274/189
- So, 12/14 + 16/27 = 274/189
In mixed form: 185/189
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 24/14+16/27 12/14+32/27 12/28+16/27 12/14+16/54 36/14+16/27 12/14+48/27 12/42+16/27 12/14+16/81 60/14+16/27 12/14+80/27 12/70+16/27 84/14+16/27 12/98+16/27