Add 30/42 and 60/27, Solve 30/42 + 2 6/27 as a fraction

Add 30/42 and 60/27

1^st number: 30/42, 2^nd number: 2 6/27

30/42 + 60/27 is 185/63.

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,
60/27 = 60 × 14/27 × 14 = 840/378
Add the two like fractions:
270/378 + 840/378 = 270 + 840/378 = 1110/378
1110/378 simplified gives 185/63
So, 30/42 + 60/27 = 185/63
In mixed form: 259/63

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