Add 30/42 and 30/81
30/42 + 30/81 is 205/189.
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,
30/81 = 30 × 14/81 × 14 = 420/1134 - Add the two like fractions:
810/1134 + 420/1134 = 810 + 420/1134 = 1230/1134 - 1230/1134 simplified gives 205/189
- So, 30/42 + 30/81 = 205/189
In mixed form: 116/189
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