Add 40/14 and 28/27
1st number: 2 12/14, 2nd number: 1 1/27
40/14 + 28/27 is 736/189.
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,
40/14 = 40 × 27/14 × 27 = 1080/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
28/27 = 28 × 14/27 × 14 = 392/378 - Add the two like fractions:
1080/378 + 392/378 = 1080 + 392/378 = 1472/378 - 1472/378 simplified gives 736/189
- So, 40/14 + 28/27 = 736/189
In mixed form: 3169/189
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/14+28/27 40/14+56/27 40/28+28/27 40/14+28/54 40/14+84/27 40/42+28/27 40/14+28/81 40/70+28/27 40/98+28/27