Add 48/42 and 30/81
1st number: 1 6/42, 2nd number: 30/81
48/42 + 30/81 is 286/189.
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,
48/42 = 48 × 27/42 × 27 = 1296/1134 - Likewise, for the 2nd fraction, since 81 × 14 = 1134,
30/81 = 30 × 14/81 × 14 = 420/1134 - Add the two like fractions:
1296/1134 + 420/1134 = 1296 + 420/1134 = 1716/1134 - 1716/1134 simplified gives 286/189
- So, 48/42 + 30/81 = 286/189
In mixed form: 197/189
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