Add 42/12 and 70/14, Solve 3 6/12 + 5 0/14 as a fraction

Add 42/12 and 70/14

1^st number: 3 6/12, 2^nd number: 5 0/14

42/12 + 70/14 is 17/2.

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,
42/12 = 42 × 7/12 × 7 = 294/84
Likewise, for the 2nd fraction, since 14 × 6 = 84,
70/14 = 70 × 6/14 × 6 = 420/84
Add the two like fractions:
294/84 + 420/84 = 294 + 420/84 = 714/84
714/84 simplified gives 17/2
So, 42/12 + 70/14 = 17/2
In mixed form: 81/2

MathStep (Works offline)

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