Add 12/35 and 21/9, Solve 12/35 + 2 3/9 as a fraction

Add 12/35 and 21/9

1^st number: 12/35, 2^nd number: 2 3/9

12/35 + 21/9 is 281/105.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 9 is 315

Next, find the equivalent fraction of both fractional numbers with denominator 315
For the 1st fraction, since 35 × 9 = 315,
12/35 = 12 × 9/35 × 9 = 108/315
Likewise, for the 2nd fraction, since 9 × 35 = 315,
21/9 = 21 × 35/9 × 35 = 735/315
Add the two like fractions:
108/315 + 735/315 = 108 + 735/315 = 843/315
843/315 simplified gives 281/105
So, 12/35 + 21/9 = 281/105
In mixed form: 271/105

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