Add 3/56 and 63/49, Solve 3/56 + 1 14/49 as a fraction

Add 3/56 and 63/49

1^st number: 3/56, 2^nd number: 1 14/49

3/56 + 63/49 is 75/56.

Find the least common denominator or LCM of the two denominators:
LCM of 56 and 49 is 392

Next, find the equivalent fraction of both fractional numbers with denominator 392
For the 1st fraction, since 56 × 7 = 392,
3/56 = 3 × 7/56 × 7 = 21/392
Likewise, for the 2nd fraction, since 49 × 8 = 392,
63/49 = 63 × 8/49 × 8 = 504/392
Add the two like fractions:
21/392 + 504/392 = 21 + 504/392 = 525/392
525/392 simplified gives 75/56
So, 3/56 + 63/49 = 75/56
In mixed form: 119/56

MathStep (Works offline)

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