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Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. (2)/(3)*(1)/(2) Answer:

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.\newline23⋅12 \frac{2}{3} \cdot \frac{1}{2} \newlineAnswer:

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Q. Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.\newline23⋅12 \frac{2}{3} \cdot \frac{1}{2} \newlineAnswer:
  1. Multiply Fractions: To multiply two fractions, we multiply the numerators together and the denominators together. For the given fractions (23)(\frac{2}{3}) and (12)(\frac{1}{2}), the numerators are 22 and 11, and the denominators are 33 and 22, respectively.\newlineCalculation: (2×1)/(3×2)(2 \times 1) / (3 \times 2)
  2. Perform Multiplication: Now, we perform the multiplication for both the numerator and the denominator.\newlineCalculation: 2×1=22 \times 1 = 2 and 3×2=63 \times 2 = 6
  3. Write Resulting Fraction: After multiplying, we write down the resulting fraction. Calculation: 26\frac{2}{6}
  4. Simplify Fraction: The fraction 26\frac{2}{6} can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 22.\newlineCalculation: (2÷26÷2)(\frac{2 \div 2}{6 \div 2})
  5. Perform Division: Performing the division gives us the simplified fraction.\newlineCalculation: 13\frac{1}{3}

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