Question

order the numbers from least to greatest.
$-\frac{3}{5}, -\frac{1}{2}, -0.61, -\frac{5}{11}$
a. $-\frac{1}{2}, -\frac{5}{11}, -\frac{3}{5}, -0.61$
b. $-\frac{5}{11}, -\frac{1}{2}, -0.61, -\frac{3}{5}$
c. $-0.61, -\frac{3}{5}, -\frac{5}{11}, -\frac{1}{2}$
d. $-\frac{5}{11}, -0.61, -\frac{1}{2}, -\frac{3}{5}$
e. $-0.61, -\frac{3}{5}, -\frac{1}{2}, -\frac{5}{11}$

Explanation:

Step1: Convert fractions to decimals

$-\frac{3}{5} = -0.6$, $-\frac{1}{2} = -0.5$, $-\frac{5}{11} \approx -0.4545$

Step2: Compare decimal values

For negative numbers, larger magnitude = smaller value:
$-0.61 < -0.6 < -0.5 < -0.4545$

Step3: Substitute back original forms

$-0.61 < -\frac{3}{5} < -\frac{1}{2} < -\frac{5}{11}$

Answer:

E. $-0.61, -\frac{3}{5}, -\frac{1}{2}, -\frac{5}{11}$