Question

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

$\mathbf{5}\frac{\mathbf{4}}{\mathbf{7}}$

Short answer

$\frac{\mathbf{39}}{\mathbf{7}}$ are the rational form of $\mathbf{5}\frac{\mathbf{4}}{\mathbf{7}}$ as a quotient of two integers.

Step-by-step solution

Step 1. Given information

Consider, the number $5\frac{4}{7}$ provided in question

Step 2. Calculation 

To convert number $5\frac{4}{7}$ as rational, it is needed to simply the mixed fraction to fraction.

Therefore,

$\begin{array}{l}\Rightarrow 5\frac{4}{7}=\frac{\left(7\times 5\right)+4}{7}\\ \Rightarrow 5\frac{4}{7}=\frac{39}{7}\end{array}$

Hence,

$\frac{39}{7}$ are the rational form of $5\frac{4}{7}$ as a quotient of two integers.