Question

Write the fraction or mixed number as a decimal.

$\mathbf{-}\frac{\mathbf{13}}{\mathbf{11}}$

Short answer

$\mathbf{-}\mathbf{1}\mathbf{.}\overline{\mathbf{18}}$ is the decimal form of fraction $\frac{\mathbf{-}\mathbf{13}}{\mathbf{11}}$

Step-by-step solution

Step 1. Given information

Consider, the mixed number $\frac{-13}{11}$ provided in question

Step 2. Calculation 

To convert improper fraction number $\frac{-13}{11}$ as decimal, it is needed to divide numerator by denominator

Therefore,

$\Rightarrow -\frac{13}{11}=-1.181818...$

Here remainder is not zero and two digits are repeating these repeating digits are shown by the bar.

$\Rightarrow -\frac{13}{11}=-1.\overline{18}$

Hence,

$-1.\overline{18}$ is the decimal form of fraction $\frac{-13}{11}$.