Add 30/42 and 42/81
30/42 + 42/81 is 233/189.
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,
30/42 = 30 × 27/42 × 27 = 810/1134 - Likewise, for the 2nd fraction, since 81 × 14 = 1134,
42/81 = 42 × 14/81 × 14 = 588/1134 - Add the two like fractions:
810/1134 + 588/1134 = 810 + 588/1134 = 1398/1134 - 1398/1134 simplified gives 233/189
- So, 30/42 + 42/81 = 233/189
In mixed form: 144/189
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