Add 45/4 and 21/27, Solve 11 1/4 + 21/27 as a fraction

Add 45/4 and 21/27

1^st number: 11 1/4, 2^nd number: 21/27

45/4 + 21/27 is 433/36.

Find the least common denominator or LCM of the two denominators:
LCM of 4 and 27 is 108

Next, find the equivalent fraction of both fractional numbers with denominator 108
For the 1st fraction, since 4 × 27 = 108,
45/4 = 45 × 27/4 × 27 = 1215/108
Likewise, for the 2nd fraction, since 27 × 4 = 108,
21/27 = 21 × 4/27 × 4 = 84/108
Add the two like fractions:
1215/108 + 84/108 = 1215 + 84/108 = 1299/108
1299/108 simplified gives 433/36
So, 45/4 + 21/27 = 433/36
In mixed form: 121/36

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