Add 45/2 and 10/24, Solve 22 1/2 + 10/24 as a fraction

Add 45/2 and 10/24

1^st number: 22 1/2, 2^nd number: 10/24

45/2 + 10/24 is 275/12.

Find the least common denominator or LCM of the two denominators:
LCM of 2 and 24 is 24

Next, find the equivalent fraction of both fractional numbers with denominator 24
For the 1st fraction, since 2 × 12 = 24,
45/2 = 45 × 12/2 × 12 = 540/24
Likewise, for the 2nd fraction, since 24 × 1 = 24,
10/24 = 10 × 1/24 × 1 = 10/24
Add the two like fractions:
540/24 + 10/24 = 540 + 10/24 = 550/24
550/24 simplified gives 275/12
So, 45/2 + 10/24 = 275/12
In mixed form: 2211/12

MathStep (Works offline)

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