From the choices, select the fraction equivalent to the given fraction.
(A) $\frac{3}{5}$

• A. $\frac{9}{15}$
• B. $\frac{6}{20}$
• C. $\frac{15}{5}$

Answer: (A)

Verified step by step guidance

1. Start with the given fraction \(\frac{3}{5}\) and understand that equivalent fractions represent the same value but have different numerators and denominators.
2. To find an equivalent fraction, multiply both the numerator and the denominator of \(\frac{3}{5}\) by the same nonzero number. For example, multiply numerator and denominator by 3 to get \(\frac{3 \times 3}{5 \times 3} = \frac{9}{15}\).
3. Check each choice by simplifying or comparing to \(\frac{3}{5}\). For instance, simplify \(\frac{9}{15}\) by dividing numerator and denominator by their greatest common divisor (GCD) to see if it reduces back to \(\frac{3}{5}\).
4. For \(\frac{6}{20}\), simplify by dividing numerator and denominator by their GCD and see if it equals \(\frac{3}{5}\). If not, it is not equivalent.
5. For \(\frac{15}{5}\), simplify by dividing numerator and denominator by their GCD and compare to \(\frac{3}{5}\). Since \(\frac{15}{5}\) simplifies to 3, it is not equivalent to \(\frac{3}{5}\).