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. Understand that two fractions are equivalent if they represent the same value when simplified or scaled. This means one fraction can be obtained by multiplying or dividing the numerator and denominator of the other fraction by the same number.
2. Start with the given fraction \(\frac{3}{5}\). To check if another fraction is equivalent, see if you can multiply both numerator and denominator of \(\frac{3}{5}\) by the same integer to get the other fraction.
3. For example, multiply numerator and denominator of \(\frac{3}{5}\) by 3: \(\frac{3 \times 3}{5 \times 3} = \frac{9}{15}\). This shows \(\frac{9}{15}\) is equivalent to \(\frac{3}{5}\).
4. Check the other fractions by simplifying them to their lowest terms. For instance, simplify \(\frac{6}{20}\) by dividing numerator and denominator by their greatest common divisor (GCD), and do the same for \(\frac{15}{5}\).
5. Compare the simplified forms of these fractions to \(\frac{3}{5}\). The fraction whose simplified form matches \(\frac{3}{5}\) is the equivalent fraction.