Question

$\frac{-27}{45}$ and $\frac{-3}{5}$ represent _______ rational numbers.

Answer 1

Defining Rational Numbers and Equivalent Rational Numbers

$\frac{-27}{45}$ and$\frac{-3}{5}$ represent the same rational numbers.

Rational numbers

A rational number, in Mathematics, can be defined as any number which can be represented in the form of$\frac{\mathrm{p}}{\mathrm{q}}$ where$\mathrm{q}\ne 0$. 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 includes positive, negative numbers, and zero.

$\frac{-27}{45}$ and $\frac{-3}{5}$

HCF of $\frac{-27}{45}$is $9$

Divide both numerator and denominator by$9$.

$\frac{(-27÷9)}{(45÷9)}=\frac{-3}{5}$

Then, the HCF of$\frac{-3}{5}$ is $1$

Therefore, $\frac{-27}{45}$ and$\frac{-3}{5}$ represent the same rational numbers.