Add 21/2 and 9/24, Solve 10 1/2 + 9/24 as a fraction

Add 21/2 and 9/24

1^st number: 10 1/2, 2^nd number: 9/24

21/2 + 9/24 is 87/8.

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,
9/24 = 9 × 1/24 × 1 = 9/24
Add the two like fractions:
252/24 + 9/24 = 252 + 9/24 = 261/24
261/24 simplified gives 87/8
So, 21/2 + 9/24 = 87/8
In mixed form: 107/8

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