Add 5/84 and 75/27, Solve 5/84 + 2 21/27 as a fraction

Add 5/84 and 75/27

1^st number: 5/84, 2^nd number: 2 21/27

5/84 + 75/27 is 715/252.

Find the least common denominator or LCM of the two denominators:
LCM of 84 and 27 is 756

Next, find the equivalent fraction of both fractional numbers with denominator 756
For the 1st fraction, since 84 × 9 = 756,
5/84 = 5 × 9/84 × 9 = 45/756
Likewise, for the 2nd fraction, since 27 × 28 = 756,
75/27 = 75 × 28/27 × 28 = 2100/756
Add the two like fractions:
45/756 + 2100/756 = 45 + 2100/756 = 2145/756
2145/756 simplified gives 715/252
So, 5/84 + 75/27 = 715/252
In mixed form: 2211/252

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