Add 28/9 and 75/84, Solve 3 1/9 + 75/84 as a fraction

Add 28/9 and 75/84

1^st number: 3 1/9, 2^nd number: 75/84

28/9 + 75/84 is 1009/252.

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 84 is 252

Next, find the equivalent fraction of both fractional numbers with denominator 252
For the 1st fraction, since 9 × 28 = 252,
28/9 = 28 × 28/9 × 28 = 784/252
Likewise, for the 2nd fraction, since 84 × 3 = 252,
75/84 = 75 × 3/84 × 3 = 225/252
Add the two like fractions:
784/252 + 225/252 = 784 + 225/252 = 1009/252
So, 28/9 + 75/84 = 1009/252
In mixed form: 41/252

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