Question

what is $\frac{3}{8} div \frac{5}{9}$? $\frac{15}{40}$ $\frac{27}{40}$ $\frac{15}{72}$ $\frac{27}{72}$

Explanation:

Step1: Recall division of fractions rule

To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction. So, \(\frac{3}{8} \div \frac{5}{9}=\frac{3}{8}\times\frac{9}{5}\)

Step2: Multiply numerators and denominators

Multiply the numerators \(3\times9 = 27\) and the denominators \(8\times5=40\). So we get \(\frac{27}{40}\)

Answer:

\(\frac{27}{40}\) (corresponding to the option with \(\frac{27}{40}\))