Question

compare these two numbers.
$-4.overline{4}$ ? $-\frac{13}{3}$

Explanation:

Step1: Convert fraction to decimal

$-\frac{13}{3} = -4.\overline{3}$

Step2: Compare the two negative decimals

For negative numbers, the one with the larger decimal value is smaller. Since $4.\overline{4} > 4.\overline{3}$, then $-4.\overline{4} < -4.\overline{3}$

Answer:

$-$4.$\overline{4}$ $\boldsymbol{<}$ $-\frac{13}{3}$