Add 27/5 and 21/24, Solve 5 2/5 + 21/24 as a fraction

Add 27/5 and 21/24

1^st number: 5 2/5, 2^nd number: 21/24

27/5 + 21/24 is 251/40.

Find the least common denominator or LCM of the two denominators:
LCM of 5 and 24 is 120

Next, find the equivalent fraction of both fractional numbers with denominator 120
For the 1st fraction, since 5 × 24 = 120,
27/5 = 27 × 24/5 × 24 = 648/120
Likewise, for the 2nd fraction, since 24 × 5 = 120,
21/24 = 21 × 5/24 × 5 = 105/120
Add the two like fractions:
648/120 + 105/120 = 648 + 105/120 = 753/120
753/120 simplified gives 251/40
So, 27/5 + 21/24 = 251/40
In mixed form: 611/40

MathStep (Works offline)

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