Question

Find the rightmost number when the following numbers are represented on the number line.
$\frac{-19}{10}$, $\frac{-3}{2}$, $\frac{-13}{10}$, $\frac{-9}{5}$

• A. $\frac{-19}{10}$
• B. $\frac{-3}{2}$
• C. $\frac{-13}{10}$
• D. $\frac{-9}{5}$

Answer 1

The correct option is C $\frac{-13}{10}$

Let us first convert these unlike fractions into like fractions.
The denominators are 10, 5, and 2.
LCM (10, 5, 2) = 10
$\frac{-19}{10}=\frac{-19}{10}$
$\frac{-3}{2}=\frac{-3\times 5}{2\times 5}=\frac{-15}{10}$
$\frac{-13}{10}=\frac{-13}{10}$
$\frac{-9}{5}=\frac{-9\times 2}{5\times 2}=\frac{-18}{10}$

Plotting them on a number line,

Therefore, $\frac{-13}{10}$ is the rightmost number on the number line.