Add 12/81 and 75/42
1st number: 12/81, 2nd number: 1 33/42
12/81 + 75/42 is 731/378.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 42 is 1134
Next, find the equivalent fraction of both fractional numbers with denominator 1134 - For the 1st fraction, since 81 × 14 = 1134,
12/81 = 12 × 14/81 × 14 = 168/1134 - Likewise, for the 2nd fraction, since 42 × 27 = 1134,
75/42 = 75 × 27/42 × 27 = 2025/1134 - Add the two like fractions:
168/1134 + 2025/1134 = 168 + 2025/1134 = 2193/1134 - 2193/1134 simplified gives 731/378
- So, 12/81 + 75/42 = 731/378
In mixed form: 1353/378
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