Add 63/42 and 70/49, Solve 1 21/42 + 1 21/49 as a fraction

Add 63/42 and 70/49

1^st number: 1 21/42, 2^nd number: 1 21/49

63/42 + 70/49 is 41/14.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 49 is 294

Next, find the equivalent fraction of both fractional numbers with denominator 294
For the 1st fraction, since 42 × 7 = 294,
63/42 = 63 × 7/42 × 7 = 441/294
Likewise, for the 2nd fraction, since 49 × 6 = 294,
70/49 = 70 × 6/49 × 6 = 420/294
Add the two like fractions:
441/294 + 420/294 = 441 + 420/294 = 861/294
861/294 simplified gives 41/14
So, 63/42 + 70/49 = 41/14
In mixed form: 213/14

MathStep (Works offline)

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