Add 3/12 and 35/14, Solve 3/12 + 2 7/14 as a fraction

Add 3/12 and 35/14

1^st number: 3/12, 2^nd number: 2 7/14

3/12 + 35/14 is 11/4.

Find the least common denominator or LCM of the two denominators:
LCM of 12 and 14 is 84

Next, find the equivalent fraction of both fractional numbers with denominator 84
For the 1st fraction, since 12 × 7 = 84,
3/12 = 3 × 7/12 × 7 = 21/84
Likewise, for the 2nd fraction, since 14 × 6 = 84,
35/14 = 35 × 6/14 × 6 = 210/84
Add the two like fractions:
21/84 + 210/84 = 21 + 210/84 = 231/84
231/84 simplified gives 11/4
So, 3/12 + 35/14 = 11/4
In mixed form: 23/4

MathStep (Works offline)

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