Add 30/42 and 14/27, Solve 30/42 + 14/27 as a fraction

Add 30/42 and 14/27

30/42 + 14/27 is 233/189.

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

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 42 × 9 = 378,
30/42 = 30 × 9/42 × 9 = 270/378
Likewise, for the 2nd fraction, since 27 × 14 = 378,
14/27 = 14 × 14/27 × 14 = 196/378
Add the two like fractions:
270/378 + 196/378 = 270 + 196/378 = 466/378
466/378 simplified gives 233/189
So, 30/42 + 14/27 = 233/189
In mixed form: 144/189

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