Add 49/14 and 18/27, Solve 3 7/14 + 18/27 as a fraction

Add 49/14 and 18/27

1^st number: 3 7/14, 2^nd number: 18/27

49/14 + 18/27 is 25/6.

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,
49/14 = 49 × 27/14 × 27 = 1323/378
Likewise, for the 2nd fraction, since 27 × 14 = 378,
18/27 = 18 × 14/27 × 14 = 252/378
Add the two like fractions:
1323/378 + 252/378 = 1323 + 252/378 = 1575/378
1575/378 simplified gives 25/6
So, 49/14 + 18/27 = 25/6
In mixed form: 41/6

MathStep (Works offline)

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