Add 21/2 and 4/56, Solve 10 1/2 + 4/56 as a fraction

Add 21/2 and 4/56

1^st number: 10 1/2, 2^nd number: 4/56

21/2 + 4/56 is 74/7.

Find the least common denominator or LCM of the two denominators:
LCM of 2 and 56 is 56

Next, find the equivalent fraction of both fractional numbers with denominator 56
For the 1st fraction, since 2 × 28 = 56,
21/2 = 21 × 28/2 × 28 = 588/56
Likewise, for the 2nd fraction, since 56 × 1 = 56,
4/56 = 4 × 1/56 × 1 = 4/56
Add the two like fractions:
588/56 + 4/56 = 588 + 4/56 = 592/56
592/56 simplified gives 74/7
So, 21/2 + 4/56 = 74/7
In mixed form: 104/7

MathStep (Works offline)

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