Add 36/42 and 96/81, Solve 36/42 + 1 15/81 as a fraction

Add 36/42 and 96/81

1^st number: 36/42, 2^nd number: 1 15/81

36/42 + 96/81 is 386/189.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 81 is 1134

Next, find the equivalent fraction of both fractional numbers with denominator 1134
For the 1st fraction, since 42 × 27 = 1134,
36/42 = 36 × 27/42 × 27 = 972/1134
Likewise, for the 2nd fraction, since 81 × 14 = 1134,
96/81 = 96 × 14/81 × 14 = 1344/1134
Add the two like fractions:
972/1134 + 1344/1134 = 972 + 1344/1134 = 2316/1134
2316/1134 simplified gives 386/189
So, 36/42 + 96/81 = 386/189
In mixed form: 28/189

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