Add 6/14 and 72/54, Solve 6/14 + 1 18/54 as a fraction

Add 6/14 and 72/54

1^st number: 6/14, 2^nd number: 1 18/54

6/14 + 72/54 is 37/21.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 54 is 378

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 14 × 27 = 378,
6/14 = 6 × 27/14 × 27 = 162/378
Likewise, for the 2nd fraction, since 54 × 7 = 378,
72/54 = 72 × 7/54 × 7 = 504/378
Add the two like fractions:
162/378 + 504/378 = 162 + 504/378 = 666/378
666/378 simplified gives 37/21
So, 6/14 + 72/54 = 37/21
In mixed form: 116/21

MathStep (Works offline)

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