Add 21/2 and 30/63, Solve 10 1/2 + 30/63 as a fraction

Add 21/2 and 30/63

1^st number: 10 1/2, 2^nd number: 30/63

21/2 + 30/63 is 461/42.

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,
21/2 = 21 × 63/2 × 63 = 1323/126
Likewise, for the 2nd fraction, since 63 × 2 = 126,
30/63 = 30 × 2/63 × 2 = 60/126
Add the two like fractions:
1323/126 + 60/126 = 1323 + 60/126 = 1383/126
1383/126 simplified gives 461/42
So, 21/2 + 30/63 = 461/42
In mixed form: 1041/42

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