Add 36/42 and 42/81
36/42 + 42/81 is 260/189.
Steps for adding fractions
- 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,
42/81 = 42 × 14/81 × 14 = 588/1134 - Add the two like fractions:
972/1134 + 588/1134 = 972 + 588/1134 = 1560/1134 - 1560/1134 simplified gives 260/189
- So, 36/42 + 42/81 = 260/189
In mixed form: 171/189
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