Add 7/2 and 75/24, Solve 3 1/2 + 3 3/24 as a fraction

Add 7/2 and 75/24

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

7/2 + 75/24 is 53/8.

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,
7/2 = 7 × 12/2 × 12 = 84/24
Likewise, for the 2nd fraction, since 24 × 1 = 24,
75/24 = 75 × 1/24 × 1 = 75/24
Add the two like fractions:
84/24 + 75/24 = 84 + 75/24 = 159/24
159/24 simplified gives 53/8
So, 7/2 + 75/24 = 53/8
In mixed form: 65/8

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