Add 72/84 and 80/27, Solve 72/84 + 2 26/27 as a fraction

Add 72/84 and 80/27

1^st number: 72/84, 2^nd number: 2 26/27

72/84 + 80/27 is 722/189.

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,
72/84 = 72 × 9/84 × 9 = 648/756
Likewise, for the 2nd fraction, since 27 × 28 = 756,
80/27 = 80 × 28/27 × 28 = 2240/756
Add the two like fractions:
648/756 + 2240/756 = 648 + 2240/756 = 2888/756
2888/756 simplified gives 722/189
So, 72/84 + 80/27 = 722/189
In mixed form: 3155/189

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