Add 35/42 and 24/9, Solve 35/42 + 2 6/9 as a fraction

Add 35/42 and 24/9

1^st number: 35/42, 2^nd number: 2 6/9

35/42 + 24/9 is 7/2.

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,
24/9 = 24 × 14/9 × 14 = 336/126
Add the two like fractions:
105/126 + 336/126 = 105 + 336/126 = 441/126
441/126 simplified gives 7/2
So, 35/42 + 24/9 = 7/2
In mixed form: 31/2

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