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Perform the operation and simplify the answer fully.

(10)/(7)*(1)/(2)
Answer:

Perform the operation and simplify the answer fully.\newline10712 \frac{10}{7} \cdot \frac{1}{2} \newlineAnswer:

Full solution

Q. Perform the operation and simplify the answer fully.\newline10712 \frac{10}{7} \cdot \frac{1}{2} \newlineAnswer:
  1. Identify Operation: Identify the operation to be performed.\newlineWe need to multiply the two fractions (107)(\frac{10}{7}) and (12)(\frac{1}{2}).
  2. Multiply Numerators and Denominators: Multiply the numerators and then the denominators.\newline(107)×(12)=(10×17×2)(\frac{10}{7}) \times (\frac{1}{2}) = (\frac{10 \times 1}{7 \times 2})
  3. Perform Multiplication: Perform the multiplication.\newline10×1=1010 \times 1 = 10\newline7×2=147 \times 2 = 14\newlineSo, (10/7)×(1/2)=10/14(10/7) \times (1/2) = 10/14
  4. Simplify Fraction: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.\newlineThe GCD of 1010 and 1414 is 22.
  5. Divide by GCD: Divide both the numerator and the denominator by the GCD to simplify the fraction.\newline10÷2=510 \div 2 = 5\newline14÷2=714 \div 2 = 7\newlineSo, 1014\frac{10}{14} simplifies to 57\frac{5}{7}.

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