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Which of the following pairs of rational numbers are on the opposite sides of the zero on the number line?

Find a rational number exactly halfway between:

$\frac{5}{-13}$ and $\frac{-7}{9}$

Find a rational number exactly halfway between:

$\frac{1}{15}$ and $\frac{1}{12}$

List three rational numbers between $–2$ and $–1$.

Between any two distinct rational numbers there are infinitely many rational numbers.

State true or false.

Between any two distinct rational numbers there is always a rational number.

Find two rational numbers between $\frac{1}{2}$and $\frac{4}{3}$.

List five rational numbers between $-1$ and $0$.