Add 5/2 and 27/48, Solve 2 1/2 + 27/48 as a fraction

Add 5/2 and 27/48

1^st number: 2 1/2, 2^nd number: 27/48

5/2 + 27/48 is 49/16.

Find the least common denominator or LCM of the two denominators:
LCM of 2 and 48 is 48

Next, find the equivalent fraction of both fractional numbers with denominator 48
For the 1st fraction, since 2 × 24 = 48,
5/2 = 5 × 24/2 × 24 = 120/48
Likewise, for the 2nd fraction, since 48 × 1 = 48,
27/48 = 27 × 1/48 × 1 = 27/48
Add the two like fractions:
120/48 + 27/48 = 120 + 27/48 = 147/48
147/48 simplified gives 49/16
So, 5/2 + 27/48 = 49/16
In mixed form: 31/16

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