Add 21/2 and 60/72, Solve 10 1/2 + 60/72 as a fraction

Add 21/2 and 60/72

1^st number: 10 1/2, 2^nd number: 60/72

21/2 + 60/72 is 34/3.

Find the least common denominator or LCM of the two denominators:
LCM of 2 and 72 is 72

Next, find the equivalent fraction of both fractional numbers with denominator 72
For the 1st fraction, since 2 × 36 = 72,
21/2 = 21 × 36/2 × 36 = 756/72
Likewise, for the 2nd fraction, since 72 × 1 = 72,
60/72 = 60 × 1/72 × 1 = 60/72
Add the two like fractions:
756/72 + 60/72 = 756 + 60/72 = 816/72
816/72 simplified gives 34/3
So, 21/2 + 60/72 = 34/3
In mixed form: 111/3

MathStep (Works offline)

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