Add 21/24 and 27/5, Solve 21/24 + 5 2/5 as a fraction

Add 21/24 and 27/5

1^st number: 21/24, 2^nd number: 5 2/5

21/24 + 27/5 is 251/40.

Find the least common denominator or LCM of the two denominators:
LCM of 24 and 5 is 120

Next, find the equivalent fraction of both fractional numbers with denominator 120
For the 1st fraction, since 24 × 5 = 120,
21/24 = 21 × 5/24 × 5 = 105/120
Likewise, for the 2nd fraction, since 5 × 24 = 120,
27/5 = 27 × 24/5 × 24 = 648/120
Add the two like fractions:
105/120 + 648/120 = 105 + 648/120 = 753/120
753/120 simplified gives 251/40
So, 21/24 + 27/5 = 251/40
In mixed form: 611/40

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