Solutions by everydaycalculation.com

2184 + 530 is 512.

- Find the least common denominator or LCM of the two denominators:

LCM of 84 and 30 is**420**

Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,

2184 = 21 × 584 × 5 = 105420 - Likewise, for the 2nd fraction, since 30 × 14 = 420,

530 = 5 × 1430 × 14 = 70420 - Add the two like fractions:

105420 + 70420 = 105 + 70420 = 175420 - 175/420 simplified gives 512
- So, 21/84 + 5/30 = 5/12

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