Add 75/84 and 42/81
75/84 + 42/81 is 1067/756.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 81 is 2268
Next, find the equivalent fraction of both fractional numbers with denominator 2268 - For the 1st fraction, since 84 × 27 = 2268,
75/84 = 75 × 27/84 × 27 = 2025/2268 - Likewise, for the 2nd fraction, since 81 × 28 = 2268,
42/81 = 42 × 28/81 × 28 = 1176/2268 - Add the two like fractions:
2025/2268 + 1176/2268 = 2025 + 1176/2268 = 3201/2268 - 3201/2268 simplified gives 1067/756
- So, 75/84 + 42/81 = 1067/756
In mixed form: 1311/756
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