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-(2)/(3)×(-(1)/(6))

−23×(−16) -\frac{2}{3} \times\left(-\frac{1}{6}\right)

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Full solution

Q. −23×(−16) -\frac{2}{3} \times\left(-\frac{1}{6}\right)
  1. Multiply Negative Fractions: Multiply the two negative fractions together.\newlineCalculation: -\left(\frac{\(2\)}{\(3\)}\right) \times -\left(\frac{\(1\)}{\(6\)}\right) = \left(\frac{\(2\)}{\(3\)}\right) \times \left(\frac{\(1\)}{\(6\)}\right)
  2. Find Product of Numerators and Denominators: Find the product of the numerators and the product of the denominators.\(\newlineCalculation: (\(2 \times 11) / (33 \times 66) = 22 / 1818
  3. Simplify Fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 22. Calculation: 218÷22=19\frac{2}{18} \div \frac{2}{2} = \frac{1}{9}

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