Question

Show that the number is rational by writing it as a quotient of two integer.

$\mathbf{5}\frac{\mathbf{7}}{\mathbf{18}}$

Short answer

$\frac{\mathbf{97}}{\mathbf{18}}$is the rational form of $\mathbf{5}\frac{\mathbf{7}}{\mathbf{18}}$ as a quotient of two integers.

Step-by-step solution

Step 1. Given information

Consider, the number $5\frac{7}{18}$ provided in question

Step 2. Calculation 

To convert number $5\frac{7}{18}$ as rational, it is needed to simplify the mixed number

Therefore, the obtained fraction is

$\begin{array}{l}\Rightarrow 5\frac{7}{18}=\frac{(18\times 5)+7}{18}\\ \Rightarrow 5\frac{7}{18}=\frac{97}{18}\end{array}$

Hence,

$\frac{97}{18}$ is the rational form of $5\frac{7}{18}$as a quotient of two integers.