Add 30/63 and 75/42, Solve 30/63 + 1 33/42 as a fraction

Add 30/63 and 75/42

1^st number: 30/63, 2^nd number: 1 33/42

30/63 + 75/42 is 95/42.

Find the least common denominator or LCM of the two denominators:
LCM of 63 and 42 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 63 × 2 = 126,
30/63 = 30 × 2/63 × 2 = 60/126
Likewise, for the 2nd fraction, since 42 × 3 = 126,
75/42 = 75 × 3/42 × 3 = 225/126
Add the two like fractions:
60/126 + 225/126 = 60 + 225/126 = 285/126
285/126 simplified gives 95/42
So, 30/63 + 75/42 = 95/42
In mixed form: 211/42

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