Add 14/12 and 81/49, Solve 1 2/12 + 1 32/49 as a fraction

Add 14/12 and 81/49

1^st number: 1 2/12, 2^nd number: 1 32/49

14/12 + 81/49 is 829/294.

Find the least common denominator or LCM of the two denominators:
LCM of 12 and 49 is 588

Next, find the equivalent fraction of both fractional numbers with denominator 588
For the 1st fraction, since 12 × 49 = 588,
14/12 = 14 × 49/12 × 49 = 686/588
Likewise, for the 2nd fraction, since 49 × 12 = 588,
81/49 = 81 × 12/49 × 12 = 972/588
Add the two like fractions:
686/588 + 972/588 = 686 + 972/588 = 1658/588
1658/588 simplified gives 829/294
So, 14/12 + 81/49 = 829/294
In mixed form: 2241/294

MathStep (Works offline)

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