Add 35/12 and 84/9, Solve 2 11/12 + 9 3/9 as a fraction

Add 35/12 and 84/9

1^st number: 2 11/12, 2^nd number: 9 3/9

35/12 + 84/9 is 49/4.

Find the least common denominator or LCM of the two denominators:
LCM of 12 and 9 is 36

Next, find the equivalent fraction of both fractional numbers with denominator 36
For the 1st fraction, since 12 × 3 = 36,
35/12 = 35 × 3/12 × 3 = 105/36
Likewise, for the 2nd fraction, since 9 × 4 = 36,
84/9 = 84 × 4/9 × 4 = 336/36
Add the two like fractions:
105/36 + 336/36 = 105 + 336/36 = 441/36
441/36 simplified gives 49/4
So, 35/12 + 84/9 = 49/4
In mixed form: 121/4

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