Add 75/2 and 27/24, Solve 37 1/2 + 1 3/24 as a fraction

Add 75/2 and 27/24

1^st number: 37 1/2, 2^nd number: 1 3/24

75/2 + 27/24 is 309/8.

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,
75/2 = 75 × 12/2 × 12 = 900/24
Likewise, for the 2nd fraction, since 24 × 1 = 24,
27/24 = 27 × 1/24 × 1 = 27/24
Add the two like fractions:
900/24 + 27/24 = 900 + 27/24 = 927/24
927/24 simplified gives 309/8
So, 75/2 + 27/24 = 309/8
In mixed form: 385/8

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