Question

Write the fraction or mixed number as a decimal.

$\mathbf{-}\frac{\mathbf{5}}{\mathbf{3}}$

Short answer

$\mathbf{-}\mathbf{1}\mathbf{.}\overline{\mathbf{6}}$is the decimal form of fraction $\mathbf{-}\frac{\mathbf{5}}{\mathbf{3}}$.

Step-by-step solution

Step 1. Given information

Consider the fraction $-\frac{5}{3}$ as provided in the question.

Step 2. Calculation 

To convert fraction $-\frac{5}{3}$ as decimal, it is needed to divide numerator from denominator

Therefore,

$\begin{array}{l}\Rightarrow -\frac{5}{3}=-\mathrm{1.666....}\\ \Rightarrow -\frac{5}{3}=-1.\overline{6}\end{array}$

Here the reminder is not zero and 6 is repeating digit, so it is shown by bar

Hence,

$-1.\overline{6}$is the decimal form of fraction $-\frac{5}{3}$