Add 45/4 and 27/48, Solve 11 1/4 + 27/48 as a fraction

Add 45/4 and 27/48

1^st number: 11 1/4, 2^nd number: 27/48

45/4 + 27/48 is 189/16.

Find the least common denominator or LCM of the two denominators:
LCM of 4 and 48 is 48

Next, find the equivalent fraction of both fractional numbers with denominator 48
For the 1st fraction, since 4 × 12 = 48,
45/4 = 45 × 12/4 × 12 = 540/48
Likewise, for the 2nd fraction, since 48 × 1 = 48,
27/48 = 27 × 1/48 × 1 = 27/48
Add the two like fractions:
540/48 + 27/48 = 540 + 27/48 = 567/48
567/48 simplified gives 189/16
So, 45/4 + 27/48 = 189/16
In mixed form: 1113/16

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