Question

what is the value of \\(\frac{5}{3} \div \frac{6}{5}\\)? \
a. 2 \
b. \\(\frac{18}{25}\\) \
c. \\(\frac{1}{2}\\) \
d. \\(\frac{25}{18}\\)

Explanation:

Step1: Recall division of fractions rule

To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction $\frac{a}{b}$ is $\frac{b}{a}$. So, for $\frac{5}{3} \div \frac{6}{5}$, we can rewrite it as $\frac{5}{3} \times \frac{5}{6}$.

Step2: Multiply the numerators and denominators

Multiply the numerators: $5\times5 = 25$. Multiply the denominators: $3\times6 = 18$. So the result is $\frac{25}{18}$.

Answer:

D. $\frac{25}{18}$