The product of two rational numbers is always a rational number. If and , what is in its simplest form? .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of the closure property of rational numbers under multiplication.
Key Concept Explanation
The closure property states that the product of any two rational numbers is also a rational number. This involves multiplying fractions and simplifying the result.
Step-by-step Solution
1. Multiply the numerators and the denominators: .
2. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2:
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