Add 30/42 and 27/8, Solve 30/42 + 3 3/8 as a fraction

Add 30/42 and 27/8

1^st number: 30/42, 2^nd number: 3 3/8

30/42 + 27/8 is 229/56.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 8 is 168

Next, find the equivalent fraction of both fractional numbers with denominator 168
For the 1st fraction, since 42 × 4 = 168,
30/42 = 30 × 4/42 × 4 = 120/168
Likewise, for the 2nd fraction, since 8 × 21 = 168,
27/8 = 27 × 21/8 × 21 = 567/168
Add the two like fractions:
120/168 + 567/168 = 120 + 567/168 = 687/168
687/168 simplified gives 229/56
So, 30/42 + 27/8 = 229/56
In mixed form: 45/56

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