Question

5 2 ÷ \frac{4}{9} =

Explanation:

Step1: Recall division of number by fraction rule

To divide a number by a fraction, we multiply the number by the reciprocal of the fraction. The reciprocal of $\frac{4}{9}$ is $\frac{9}{4}$. So, $2\div\frac{4}{9}=2\times\frac{9}{4}$.

Step2: Simplify the multiplication

We can simplify $2\times\frac{9}{4}$. The number 2 and the denominator 4 have a common factor of 2. So, $2\div2 = 1$ and $4\div2 = 2$. Then the expression becomes $1\times\frac{9}{2}=\frac{9}{2}$. We can also write this as a mixed number: $4\frac{1}{2}$.

Answer:

$\frac{9}{2}$ (or $4\frac{1}{2}$)