Question

Which of the two rational numbers is greater in each of the following pairs ?

$0,\frac{7}{-5}$

Answer 1

$0$ can be written as $\frac{0}{1}.$

Now we will convert $\frac{7}{-5}$ to its standard form.

$\frac{7}{-5}=\frac{7\times -1}{-5\times -1}=\frac{-7}{5}.$

First of all we will make their denominators equal by taking their LCM

LCM $\left(1,5\right)=5.$

$$\begin{gathered} \frac{-7}{5}=\frac{-7}{5} \\ \frac{0}{1}=\frac{0\times 5}{1\times 5}=\frac{0}{5}. \end{gathered}$$

When denominators of two rational numbers are equal, we only compare the numerators.

Here , $0>-7.$

So , $\frac{0}{5}>\frac{-7}{5}.$

Hence , $0>\frac{7}{-5}.$