Add 27/54 and 80/42, Solve 27/54 + 1 38/42 as a fraction

Add 27/54 and 80/42

1^st number: 27/54, 2^nd number: 1 38/42

27/54 + 80/42 is 101/42.

Find the least common denominator or LCM of the two denominators:
LCM of 54 and 42 is 378

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 54 × 7 = 378,
27/54 = 27 × 7/54 × 7 = 189/378
Likewise, for the 2nd fraction, since 42 × 9 = 378,
80/42 = 80 × 9/42 × 9 = 720/378
Add the two like fractions:
189/378 + 720/378 = 189 + 720/378 = 909/378
909/378 simplified gives 101/42
So, 27/54 + 80/42 = 101/42
In mixed form: 217/42

MathStep (Works offline)

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