Question

$-\frac{16}{24}$ and $\frac{20}{-16}$ represent ______ rational numbers.

Answer 1

A rational number, in Mathematics, can be defined as any number which can be represented in the form of $\frac{p}{q}$ where $q\ne 0.$ When the rational number is divided, the result will be in decimal form, which may be either terminating decimal or repeating decimal. The set of rational numerals include positive, negative numbers, and zero.

$-\frac{16}{24}$ can be written in simplest form by dividing numerator and denominator by $8$

$-\frac{16}{24}$$=-\frac{2}{3}$

$\frac{20}{-16}$ can be written in simplest form by dividing numerator and denominator by $4$

$\frac{20}{-16}$$=-\frac{5}{4}$

$-\frac{2}{3}$ and $-\frac{5}{4}$ are two different rational numbers

Hence, $-\frac{16}{24}$ and $\frac{20}{-16}$ represent different rational numbers.