Question

(\frac{1}{3} div \frac{11}{9} =)

Explanation:

Step1: Recall division of fractions rule

To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction. So, $\frac{1}{3} \div \frac{11}{9}=\frac{1}{3} \times \frac{9}{11}$.

Step2: Multiply the numerators and denominators

Multiply the numerators: $1\times9 = 9$. Multiply the denominators: $3\times11 = 33$. So we get $\frac{9}{33}$.

Step3: Simplify the fraction

We can simplify $\frac{9}{33}$ by dividing both the numerator and the denominator by their greatest common divisor, which is 3. $\frac{9\div3}{33\div3}=\frac{3}{11}$.

Answer:

$\frac{3}{11}$