Add 32/9 and 30/42, Solve 3 5/9 + 30/42 as a fraction

Add 32/9 and 30/42

1^st number: 3 5/9, 2^nd number: 30/42

32/9 + 30/42 is 269/63.

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 42 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 9 × 14 = 126,
32/9 = 32 × 14/9 × 14 = 448/126
Likewise, for the 2nd fraction, since 42 × 3 = 126,
30/42 = 30 × 3/42 × 3 = 90/126
Add the two like fractions:
448/126 + 90/126 = 448 + 90/126 = 538/126
538/126 simplified gives 269/63
So, 32/9 + 30/42 = 269/63
In mixed form: 417/63

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