Add 21/2 and 9/27, Solve 10 1/2 + 9/27 as a fraction

Add 21/2 and 9/27

1^st number: 10 1/2, 2^nd number: 9/27

21/2 + 9/27 is 65/6.

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,
9/27 = 9 × 2/27 × 2 = 18/54
Add the two like fractions:
567/54 + 18/54 = 567 + 18/54 = 585/54
585/54 simplified gives 65/6
So, 21/2 + 9/27 = 65/6
In mixed form: 105/6

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