Add 27/54 and 50/75, Solve 27/54 + 50/75 as a fraction

Add 27/54 and 50/75

27/54 + 50/75 is 7/6.

Find the least common denominator or LCM of the two denominators:
LCM of 54 and 75 is 1350

Next, find the equivalent fraction of both fractional numbers with denominator 1350
For the 1st fraction, since 54 × 25 = 1350,
27/54 = 27 × 25/54 × 25 = 675/1350
Likewise, for the 2nd fraction, since 75 × 18 = 1350,
50/75 = 50 × 18/75 × 18 = 900/1350
Add the two like fractions:
675/1350 + 900/1350 = 675 + 900/1350 = 1575/1350
1575/1350 simplified gives 7/6
So, 27/54 + 50/75 = 7/6
In mixed form: 11/6

MathStep (Works offline)

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