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

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

Answer: (A)

Verified step by step guidance

1. Step 1: Understand that two fractions are equivalent if they represent the same value when simplified or scaled. For example, multiplying or dividing both numerator and denominator of a fraction by the same number does not change its value.
2. Step 2: Start with the given fraction \( \frac{3}{5} \). To check if another fraction is equivalent, see if you can multiply or divide the numerator and denominator of \( \frac{3}{5} \) by the same number to get the other fraction.
3. Step 3: For the fraction \( \frac{9}{15} \), check if there is a number \( k \) such that \( 3 \times k = 9 \) and \( 5 \times k = 15 \). If such a \( k \) exists and is the same for numerator and denominator, then \( \frac{9}{15} \) is equivalent to \( \frac{3}{5} \).
4. Step 4: Repeat the same process for the other fractions \( \frac{6}{20} \) and \( \frac{15}{5} \) by checking if there is a common multiplier or divisor that relates them to \( \frac{3}{5} \).
5. Step 5: Conclude which fraction(s) are equivalent by confirming the equality \( \frac{3}{5} = \frac{numerator}{denominator} \) after simplification or scaling.