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Multiply. Write your answer as a fraction or as a whole or mixed number.\newline2×13×212=2 \times \frac{1}{3} \times 2\frac{1}{2} = _____

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Q. Multiply. Write your answer as a fraction or as a whole or mixed number.\newline2×13×212=2 \times \frac{1}{3} \times 2\frac{1}{2} = _____
  1. Convert to Improper Fraction: Convert the mixed number to an improper fraction.\newline2122 \frac{1}{2} is equal to (2×2+1)/2=52(2\times2 + 1)/2 = \frac{5}{2}.\newlineCalculation: 212=522 \frac{1}{2} = \frac{5}{2}
  2. Multiply the Fractions: Multiply the fractions.\newlineMultiply 22, 13\frac{1}{3}, and 52\frac{5}{2}.\newlineCalculation: 2×13×52=(21)×(13)×(52)2 \times \frac{1}{3} \times \frac{5}{2} = \left(\frac{2}{1}\right) \times \left(\frac{1}{3}\right) \times \left(\frac{5}{2}\right)\newline=(2×1×51×3×2)= \left(\frac{2\times1\times5}{1\times3\times2}\right)\newline=106= \frac{10}{6}
  3. Simplify the Fraction: Simplify the fraction. \newline106\frac{10}{6} can be simplified to 53\frac{5}{3}, since both numerator and denominator are divisible by 22.\newlineCalculation: 106=53\frac{10}{6} = \frac{5}{3}

More problems from Multiply three or more mixed numbers, fractions, and/or whole numbers