Add 75/2 and 15/63, Solve 37 1/2 + 15/63 as a fraction

Add 75/2 and 15/63

1^st number: 37 1/2, 2^nd number: 15/63

75/2 + 15/63 is 1585/42.

Find the least common denominator or LCM of the two denominators:
LCM of 2 and 63 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 2 × 63 = 126,
75/2 = 75 × 63/2 × 63 = 4725/126
Likewise, for the 2nd fraction, since 63 × 2 = 126,
15/63 = 15 × 2/63 × 2 = 30/126
Add the two like fractions:
4725/126 + 30/126 = 4725 + 30/126 = 4755/126
4755/126 simplified gives 1585/42
So, 75/2 + 15/63 = 1585/42
In mixed form: 3731/42

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