Add 10/27 and 10/12, Solve 10/27 + 10/12 as a fraction

Add 10/27 and 10/12

10/27 + 10/12 is 65/54.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 12 is 108

Next, find the equivalent fraction of both fractional numbers with denominator 108
For the 1st fraction, since 27 × 4 = 108,
10/27 = 10 × 4/27 × 4 = 40/108
Likewise, for the 2nd fraction, since 12 × 9 = 108,
10/12 = 10 × 9/12 × 9 = 90/108
Add the two like fractions:
40/108 + 90/108 = 40 + 90/108 = 130/108
130/108 simplified gives 65/54
So, 10/27 + 10/12 = 65/54
In mixed form: 111/54

MathStep (Works offline)

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