To convert the mixed number \(12 \frac{2}{15}\) into its simplest form, you can follow these steps:
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Convert the mixed number to an improper fraction.
- Multiply the whole number by the denominator: \(12 \times 15 = 180\).
- Add the numerator: \(180 + 2 = 182\).
- So, \(12 \frac{2}{15} = \frac{182}{15}\).
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Check if the fraction can be simplified. The numerator (182) and the denominator (15) do not have any common factors other than 1, so \(\frac{182}{15}\) is already in its simplest form.
Thus, the simplest form of \(12 \frac{2}{15}\) is \(\frac{182}{15}\) or you can leave it as the mixed number \(12 \frac{2}{15}\).