Add 8/3 and 21/84, Solve 2 2/3 + 21/84 as a fraction

Add 8/3 and 21/84

1^st number: 2 2/3, 2^nd number: 21/84

8/3 + 21/84 is 35/12.

Find the least common denominator or LCM of the two denominators:
LCM of 3 and 84 is 84

Next, find the equivalent fraction of both fractional numbers with denominator 84
For the 1st fraction, since 3 × 28 = 84,
8/3 = 8 × 28/3 × 28 = 224/84
Likewise, for the 2nd fraction, since 84 × 1 = 84,
21/84 = 21 × 1/84 × 1 = 21/84
Add the two like fractions:
224/84 + 21/84 = 224 + 21/84 = 245/84
245/84 simplified gives 35/12
So, 8/3 + 21/84 = 35/12
In mixed form: 211/12

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