Add 27/28 and 7/12, Solve 27/28 + 7/12 as a fraction

Add 27/28 and 7/12

27/28 + 7/12 is 65/42.

Find the least common denominator or LCM of the two denominators:
LCM of 28 and 12 is 84

Next, find the equivalent fraction of both fractional numbers with denominator 84
For the 1st fraction, since 28 × 3 = 84,
27/28 = 27 × 3/28 × 3 = 81/84
Likewise, for the 2nd fraction, since 12 × 7 = 84,
7/12 = 7 × 7/12 × 7 = 49/84
Add the two like fractions:
81/84 + 49/84 = 81 + 49/84 = 130/84
130/84 simplified gives 65/42
So, 27/28 + 7/12 = 65/42
In mixed form: 123/42

MathStep (Works offline)

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