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Multiply. Write your answer as a fraction or as a whole or mixed number.\newline23×112×2=\frac{2}{3} \times 1\frac{1}{2} \times 2 = _____

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Q. Multiply. Write your answer as a fraction or as a whole or mixed number.\newline23×112×2=\frac{2}{3} \times 1\frac{1}{2} \times 2 = _____
  1. Convert to Improper Fraction: Convert the mixed number 1121 \frac{1}{2} to an improper fraction.\newline112=1+12=(22+12)=32.1 \frac{1}{2} = 1 + \frac{1}{2} = \left(\frac{2}{2} + \frac{1}{2}\right) = \frac{3}{2}.
  2. Multiply Fractions: Multiply the fractions: 23×32\frac{2}{3} \times \frac{3}{2}.
    (23)×(32)=2×33×2=66=1(\frac{2}{3}) \times (\frac{3}{2}) = \frac{2\times3}{3\times2} = \frac{6}{6} = 1.
  3. Multiply by 22: Multiply the result by 22: 1×21 \times 2. 1×2=21 \times 2 = 2.

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