Add 27/8 and 45/24, Solve 3 3/8 + 1 21/24 as a fraction

Add 27/8 and 45/24

1^st number: 3 3/8, 2^nd number: 1 21/24

27/8 + 45/24 is 21/4.

Find the least common denominator or LCM of the two denominators:
LCM of 8 and 24 is 24

Next, find the equivalent fraction of both fractional numbers with denominator 24
For the 1st fraction, since 8 × 3 = 24,
27/8 = 27 × 3/8 × 3 = 81/24
Likewise, for the 2nd fraction, since 24 × 1 = 24,
45/24 = 45 × 1/24 × 1 = 45/24
Add the two like fractions:
81/24 + 45/24 = 81 + 45/24 = 126/24
126/24 simplified gives 21/4
So, 27/8 + 45/24 = 21/4
In mixed form: 51/4

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