Add 27/2 and 75/27, Solve 13 1/2 + 2 21/27 as a fraction

Add 27/2 and 75/27

1^st number: 13 1/2, 2^nd number: 2 21/27

27/2 + 75/27 is 293/18.

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,
27/2 = 27 × 27/2 × 27 = 729/54
Likewise, for the 2nd fraction, since 27 × 2 = 54,
75/27 = 75 × 2/27 × 2 = 150/54
Add the two like fractions:
729/54 + 150/54 = 729 + 150/54 = 879/54
879/54 simplified gives 293/18
So, 27/2 + 75/27 = 293/18
In mixed form: 165/18

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