Question

Identify the rational number that does not belong with the other three. Explain your reasoning
-5/11, -1/2, -4/9, -7/3

Answer 1

-$\frac{7}{3}$
It is lesser than -1, or is an improper fraction,
While all the others are proper fractions.

Answer 2

-1/2 is does not belong with the other three because -1/2 is terminating decimal.

Step-by-step explanation:

The given numbers are

-5/11, -1/2, -4/9, -7/3

If the denominator of a rational number is $2^n\text{ or } 5^n\text{ or } 2^n5^2$, n∈N, then the rational number is terminating decimal otherwise the  rational number is non-terminating decimal.

$-\frac{5}{11}=-0.4545....$        (non-terminating decimal)

$-\frac{1}{2}=-0.5$       (terminating decimal)

$-\frac{4}{9}=-0.44...$     (non-terminating decimal)

$-\frac{7}{3}=-2.333$   (non-terminating decimal)

Therefore, -1/2 is does not belong with the other three because -1/2 is terminating decimal.

#Learn more:

Difference between terminating decimal expansion and non terminating decimal expansion.

https://brainly.in/question/3328730