Add 63/2 and 28/7, Solve 31 1/2 + 4 0/7 as a fraction

Add 63/2 and 28/7

1^st number: 31 1/2, 2^nd number: 4 0/7

63/2 + 28/7 is 71/2.

Find the least common denominator or LCM of the two denominators:
LCM of 2 and 7 is 14

Next, find the equivalent fraction of both fractional numbers with denominator 14
For the 1st fraction, since 2 × 7 = 14,
63/2 = 63 × 7/2 × 7 = 441/14
Likewise, for the 2nd fraction, since 7 × 2 = 14,
28/7 = 28 × 2/7 × 2 = 56/14
Add the two like fractions:
441/14 + 56/14 = 441 + 56/14 = 497/14
497/14 simplified gives 71/2
So, 63/2 + 28/7 = 71/2
In mixed form: 351/2

MathStep (Works offline)

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