1. The problem asks which pair of fractions are equivalent. 2. Two fractions are equivalent if their cross products are equal, i.e., for fractions $\frac{a}{b}$ and $\frac{c}{d}$, they are equivalent if $a \times d = b \times c$. 3. Check each pair: - A: $\frac{2}{5}$ and $\frac{4}{10}$ Calculate cross products: $2 \times 10 = 20$ and $5 \times 4 = 20$ Since $20 = 20$, these fractions are equivalent. - B: $\frac{1}{3}$ and $\frac{3}{12}$ Calculate cross products: $1 \times 12 = 12$ and $3 \times 3 = 9$ Since $12 \neq 9$, these fractions are not equivalent. - C: $\frac{1}{6}$ and $\frac{3}{10}$ Calculate cross products: $1 \times 10 = 10$ and $6 \times 3 = 18$ Since $10 \neq 18$, these fractions are not equivalent. - D: $\frac{3}{4}$ and $\frac{5}{6}$ Calculate cross products: $3 \times 6 = 18$ and $4 \times 5 = 20$ Since $18 \neq 20$, these fractions are not equivalent. 4. Therefore, the equivalent pair is A: $\frac{2}{5}$ and $\frac{4}{10}$. Final answer: A