Add 21/2 and 75/24, Solve 10 1/2 + 3 3/24 as a fraction

Add 21/2 and 75/24

1^st number: 10 1/2, 2^nd number: 3 3/24

21/2 + 75/24 is 109/8.

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,
21/2 = 21 × 12/2 × 12 = 252/24
Likewise, for the 2nd fraction, since 24 × 1 = 24,
75/24 = 75 × 1/24 × 1 = 75/24
Add the two like fractions:
252/24 + 75/24 = 252 + 75/24 = 327/24
327/24 simplified gives 109/8
So, 21/2 + 75/24 = 109/8
In mixed form: 135/8

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