Answer
$-0.63\gt-\frac{7}{11}$
Work Step by Step
Write the fraction as a decimal to compare the values.
$-\frac{7}{11}=-0.\overline{63}$
To compare, extend the number of decimal places.
$-\frac{7}{11}=-0.\overline{63}=-0.63\underset\uparrow63\overline{63}$
$-0.63\ \ \ \ \ \ \ \ \ \ \ \ \ \ =-0.63\underset\uparrow00$
Since the tenths and hundredths positions are equal, compare the thousandths position. 0 is less than 6, so 0.63 has the smaller absolute value, but is the larger number since the numbers are negative.
