From the choices, select the fraction equivalent to the given fraction.
$\left(B\right)\frac{11}{4}$

• A. $\frac{55}{15}$
• B. $\frac{33}{12}$
• C. $\frac{66}{18}$

Answer: (B)

Verified step by step guidance

1. Identify the fraction given in the problem, which is \( \frac{11}{4} \). The goal is to find an equivalent fraction from the provided choices.
2. Recall that two fractions \( \frac{a}{b} \) and \( \frac{c}{d} \) are equivalent if their cross products are equal, meaning \( a \times d = b \times c \).
3. Apply this test to each choice by cross-multiplying with \( \frac{11}{4} \). For example, to check if \( \frac{55}{15} \) is equivalent to \( \frac{11}{4} \), compute \( 11 \times 15 \) and \( 4 \times 55 \) and compare the results.
4. Repeat the cross-multiplication for the other choices \( \frac{33}{12} \) and \( \frac{66}{18} \) to see which one satisfies the equivalence condition with \( \frac{11}{4} \).
5. The fraction that has equal cross products with \( \frac{11}{4} \) is the equivalent fraction you are looking for.