Determine if the following pair of fractions is equivalent by simplifying.

• A. Yes
• B. No
• C. They are only equivalent if multiplied.
• D. Cannot be determined.

Answer: (A)

Verified step by step guidance

1. Step 1: Identify the two fractions given: \(\frac{3}{5}\) and \(\frac{12}{20}\).
2. Step 2: Simplify the second fraction \(\frac{12}{20}\) by finding the greatest common divisor (GCD) of 12 and 20.
3. Step 3: Divide both the numerator and denominator of \(\frac{12}{20}\) by their GCD to get the simplified fraction.
4. Step 4: Compare the simplified form of \(\frac{12}{20}\) with \(\frac{3}{5}\) to see if they are equal.
5. Step 5: If both fractions are equal after simplification, then the fractions are equivalent; otherwise, they are not.