To evaluate \( \frac{5}{2} \div \frac{7}{4} \), you can multiply by the reciprocal of the second fraction:
\[ \frac{5}{2} \div \frac{7}{4} = \frac{5}{2} \times \frac{4}{7} \]
Now, multiply the numerators and the denominators:
\[ \frac{5 \times 4}{2 \times 7} = \frac{20}{14} \]
Next, simplify \( \frac{20}{14} \) by finding the greatest common divisor (GCD) of 20 and 14. The GCD is 2. Now divide both the numerator and denominator by 2:
\[ \frac{20 \div 2}{14 \div 2} = \frac{10}{7} \]
Thus, the simplified answer is:
\[ \frac{10}{7} \]
So the correct response is:
10/7