Add 21/8 and 9/84, Solve 2 5/8 + 9/84 as a fraction

Add 21/8 and 9/84

1^st number: 2 5/8, 2^nd number: 9/84

21/8 + 9/84 is 153/56.

Find the least common denominator or LCM of the two denominators:
LCM of 8 and 84 is 168

Next, find the equivalent fraction of both fractional numbers with denominator 168
For the 1st fraction, since 8 × 21 = 168,
21/8 = 21 × 21/8 × 21 = 441/168
Likewise, for the 2nd fraction, since 84 × 2 = 168,
9/84 = 9 × 2/84 × 2 = 18/168
Add the two like fractions:
441/168 + 18/168 = 441 + 18/168 = 459/168
459/168 simplified gives 153/56
So, 21/8 + 9/84 = 153/56
In mixed form: 241/56

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