Add 12/84 and 40/27, Solve 12/84 + 1 13/27 as a fraction

Add 12/84 and 40/27

1^st number: 12/84, 2^nd number: 1 13/27

12/84 + 40/27 is 307/189.

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,
12/84 = 12 × 9/84 × 9 = 108/756
Likewise, for the 2nd fraction, since 27 × 28 = 756,
40/27 = 40 × 28/27 × 28 = 1120/756
Add the two like fractions:
108/756 + 1120/756 = 108 + 1120/756 = 1228/756
1228/756 simplified gives 307/189
So, 12/84 + 40/27 = 307/189
In mixed form: 1118/189

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