Add 35/9 and 90/42, Solve 3 8/9 + 2 6/42 as a fraction

Add 35/9 and 90/42

1^st number: 3 8/9, 2^nd number: 2 6/42

35/9 + 90/42 is 380/63.

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,
35/9 = 35 × 14/9 × 14 = 490/126
Likewise, for the 2nd fraction, since 42 × 3 = 126,
90/42 = 90 × 3/42 × 3 = 270/126
Add the two like fractions:
490/126 + 270/126 = 490 + 270/126 = 760/126
760/126 simplified gives 380/63
So, 35/9 + 90/42 = 380/63
In mixed form: 62/63

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