Fractions Chapter 2 Quiz
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Questions and Answers

What is the product of $\frac{1}{5} \times \frac{5}{3}$?

  • $\frac{1}{15}$
  • $\frac{5}{5}$
  • $\frac{1}{3}$ (correct)
  • $\frac{5}{15}$
  • Which fraction represents the product $\frac{1}{5} \times \frac{5}{3}$ before simplification?

  • $\frac{5}{15}$ (correct)
  • $\frac{5}{3}$
  • $\frac{1}{5}$
  • $\frac{1}{15}$
  • How can you simplify the product $\frac{5}{15}$?

  • Subtract 5 from both numerator and denominator
  • Add 5 to both numerator and denominator
  • Multiply both numerator and denominator by 3
  • Divide both numerator and denominator by 5 (correct)
  • Which of the following is NOT a step in finding the product of $\frac{1}{5} \times \frac{5}{3}$?

    <p>Add the two fractions</p> Signup and view all the answers

    What is the lowest form of the product $\frac{1}{5} \times \frac{5}{3}$?

    <p>$\frac{1}{3}$</p> Signup and view all the answers

    Study Notes

    Product Calculation

    • The product of fractions is found by multiplying the numerators and the denominators.
    • For the fractions (\frac{1}{5}) and (\frac{5}{3}), the product is calculated as: [ \frac{1 \times 5}{5 \times 3} = \frac{5}{15} ]

    Product Before Simplification

    • The product (\frac{1}{5} \times \frac{5}{3}) before simplification is (\frac{5}{15}).

    Simplification Process

    • To simplify (\frac{5}{15}), divide both the numerator and the denominator by their greatest common divisor (GCD), which is 5.
    • This results in: [ \frac{5 \div 5}{15 \div 5} = \frac{1}{3} ]

    Steps in Finding the Product

    • Finding the product involves several steps, including:
      • Multiplying the numerators
      • Multiplying the denominators
      • Simplifying the resulting fraction
    • Any step that does not follow these procedures is NOT a valid step.

    Lowest Form of the Product

    • The lowest form of (\frac{5}{15}) after simplification is (\frac{1}{3}).

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    Description

    Test your knowledge on multiplying fractions with this quiz. Answer questions about finding the product of fractions and simplifying results. Each question challenges your understanding of fraction operations.

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