Add 12/84 and 75/81
12/84 + 75/81 is 202/189.
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,
12/84 = 12 × 27/84 × 27 = 324/2268 - Likewise, for the 2nd fraction, since 81 × 28 = 2268,
75/81 = 75 × 28/81 × 28 = 2100/2268 - Add the two like fractions:
324/2268 + 2100/2268 = 324 + 2100/2268 = 2424/2268 - 2424/2268 simplified gives 202/189
- So, 12/84 + 75/81 = 202/189
In mixed form: 113/189
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