Add 35/9 and 28/42, Solve 3 8/9 + 28/42 as a fraction

Add 35/9 and 28/42

1^st number: 3 8/9, 2^nd number: 28/42

35/9 + 28/42 is 41/9.

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,
28/42 = 28 × 3/42 × 3 = 84/126
Add the two like fractions:
490/126 + 84/126 = 490 + 84/126 = 574/126
574/126 simplified gives 41/9
So, 35/9 + 28/42 = 41/9
In mixed form: 45/9

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