Add 21/56 and 75/27, Solve 21/56 + 2 21/27 as a fraction

Add 21/56 and 75/27

1^st number: 21/56, 2^nd number: 2 21/27

21/56 + 75/27 is 227/72.

Find the least common denominator or LCM of the two denominators:
LCM of 56 and 27 is 1512

Next, find the equivalent fraction of both fractional numbers with denominator 1512
For the 1st fraction, since 56 × 27 = 1512,
21/56 = 21 × 27/56 × 27 = 567/1512
Likewise, for the 2nd fraction, since 27 × 56 = 1512,
75/27 = 75 × 56/27 × 56 = 4200/1512
Add the two like fractions:
567/1512 + 4200/1512 = 567 + 4200/1512 = 4767/1512
4767/1512 simplified gives 227/72
So, 21/56 + 75/27 = 227/72
In mixed form: 311/72

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