Question

Identify the rational number that does not belong with the other three. Explain your reasoning.

$-\frac{5}{11}$, $-\frac{1}{2}$ ,$-\frac{4}{9}$, $-\frac{7}{3}$

Answer 1

Find the odd one

Given number are, $-\frac{5}{11}$, $-\frac{1}{2}$ ,$-\frac{4}{9}$, $-\frac{7}{3}$

Here, we can see that all the fractions are proper fractions except for $-\frac{7}{3}$ which is an improper fraction.

Proper fractions are fractions whose numerators are lesser than their denominators.

Improper fractions are fractions whose denominators are lesser than their numerators.

We can also see that $-\frac{7}{3}$ is lesser than $-1$ and the others are not.

Therefore, $-\frac{7}{3}$ is the rational number that does not belong with the other three.