Add 56/27 and 30/42, Solve 2 2/27 + 30/42 as a fraction

Add 56/27 and 30/42

1^st number: 2 2/27, 2^nd number: 30/42

56/27 + 30/42 is 527/189.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 42 is 378

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 27 × 14 = 378,
56/27 = 56 × 14/27 × 14 = 784/378
Likewise, for the 2nd fraction, since 42 × 9 = 378,
30/42 = 30 × 9/42 × 9 = 270/378
Add the two like fractions:
784/378 + 270/378 = 784 + 270/378 = 1054/378
1054/378 simplified gives 527/189
So, 56/27 + 30/42 = 527/189
In mixed form: 2149/189

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