Question

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

$\mathbf{-}\mathbf{1}\frac{\mathbf{1}}{\mathbf{3}}$

Short answer

$\frac{\mathbf{-}\mathbf{4}}{\mathbf{7}} \mathbf{or}\frac{\mathbf{4}}{\mathbf{-}\mathbf{7}}$ are the rational form of $\mathbf{-}\mathbf{1}\frac{\mathbf{1}}{\mathbf{3}}$ as a quotient of two integers.

Step-by-step solution

Step 1. Given information

Consider, the number $\mathbf{-}1\frac{1}{3}$ provided in question

Step 2. Calculation 

To convert number $-1\frac{1}{3}$ as rational,it is needed to simply the mixed fraction to fraction.

Therefore,

$\begin{array}{l}\Rightarrow -1\frac{1}{3}=-\frac{(3\times 1)+1}{3}\\ \Rightarrow -1\frac{1}{3}=-\frac{4}{7}=\frac{-4}{7}\text{\hspace{0.17em}or}\frac{4}{-7}\end{array}$

Hence,

$\frac{-4}{7} \text{or} \frac{4}{-7}$ are the rational form of $-1\frac{1}{3}$ as a quotient of two integers.