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Questions and Answers
What is the product of $\frac{1}{5} \times \frac{5}{3}$?
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?
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 $\frac{5}{15}$?
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 $\frac{1}{5} \times \frac{5}{3}$?
Which of the following is NOT a step in finding the product of $\frac{1}{5} \times \frac{5}{3}$?
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What is the lowest form of the product $\frac{1}{5} \times \frac{5}{3}$?
What is the lowest form of the product $\frac{1}{5} \times \frac{5}{3}$?
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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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