Add 8/12 and 18/14, Solve 8/12 + 1 4/14 as a fraction

Add 8/12 and 18/14

1^st number: 8/12, 2^nd number: 1 4/14

8/12 + 18/14 is 41/21.

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,
8/12 = 8 × 7/12 × 7 = 56/84
Likewise, for the 2nd fraction, since 14 × 6 = 84,
18/14 = 18 × 6/14 × 6 = 108/84
Add the two like fractions:
56/84 + 108/84 = 56 + 108/84 = 164/84
164/84 simplified gives 41/21
So, 8/12 + 18/14 = 41/21
In mixed form: 120/21

MathStep (Works offline)

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