Add 56/84 and 81/30, Solve 56/84 + 2 21/30 as a fraction

Add 56/84 and 81/30

1^st number: 56/84, 2^nd number: 2 21/30

56/84 + 81/30 is 101/30.

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,
56/84 = 56 × 5/84 × 5 = 280/420
Likewise, for the 2nd fraction, since 30 × 14 = 420,
81/30 = 81 × 14/30 × 14 = 1134/420
Add the two like fractions:
280/420 + 1134/420 = 280 + 1134/420 = 1414/420
1414/420 simplified gives 101/30
So, 56/84 + 81/30 = 101/30
In mixed form: 311/30

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