Add 21/2 and 12/27, Solve 10 1/2 + 12/27 as a fraction

Add 21/2 and 12/27

1^st number: 10 1/2, 2^nd number: 12/27

21/2 + 12/27 is 197/18.

Find the least common denominator or LCM of the two denominators:
LCM of 2 and 27 is 54

Next, find the equivalent fraction of both fractional numbers with denominator 54
For the 1st fraction, since 2 × 27 = 54,
21/2 = 21 × 27/2 × 27 = 567/54
Likewise, for the 2nd fraction, since 27 × 2 = 54,
12/27 = 12 × 2/27 × 2 = 24/54
Add the two like fractions:
567/54 + 24/54 = 567 + 24/54 = 591/54
591/54 simplified gives 197/18
So, 21/2 + 12/27 = 197/18
In mixed form: 1017/18

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