Add 7/42 and 63/49, Solve 7/42 + 1 14/49 as a fraction

Add 7/42 and 63/49

1^st number: 7/42, 2^nd number: 1 14/49

7/42 + 63/49 is 61/42.

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,
7/42 = 7 × 7/42 × 7 = 49/294
Likewise, for the 2nd fraction, since 49 × 6 = 294,
63/49 = 63 × 6/49 × 6 = 378/294
Add the two like fractions:
49/294 + 378/294 = 49 + 378/294 = 427/294
427/294 simplified gives 61/42
So, 7/42 + 63/49 = 61/42
In mixed form: 119/42

MathStep (Works offline)

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