Add 35/42 and 21/9, Solve 35/42 + 2 3/9 as a fraction

Add 35/42 and 21/9

1^st number: 35/42, 2^nd number: 2 3/9

35/42 + 21/9 is 19/6.

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

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 42 × 3 = 126,
35/42 = 35 × 3/42 × 3 = 105/126
Likewise, for the 2nd fraction, since 9 × 14 = 126,
21/9 = 21 × 14/9 × 14 = 294/126
Add the two like fractions:
105/126 + 294/126 = 105 + 294/126 = 399/126
399/126 simplified gives 19/6
So, 35/42 + 21/9 = 19/6
In mixed form: 31/6

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