Add 40/14 and 84/27, Solve 2 12/14 + 3 3/27 as a fraction

Add 40/14 and 84/27

1^st number: 2 12/14, 2^nd number: 3 3/27

40/14 + 84/27 is 376/63.

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,
84/27 = 84 × 14/27 × 14 = 1176/378
Add the two like fractions:
1080/378 + 1176/378 = 1080 + 1176/378 = 2256/378
2256/378 simplified gives 376/63
So, 40/14 + 84/27 = 376/63
In mixed form: 561/63

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad