Question

The number $\frac{-15}{7}$, on the number line, lies between ________.

• A. 0 and 1
• B. -3 and -2
• C. 2 and 3
• D. -2 and -1

Answer 1

The correct option is B

-3 and -2

$-\frac{15}{7}=\frac{-21+6}{7}$

$=\frac{-21}{7}+\frac{6}{7}$

$=-3+\frac{6}{7}$

We see that $-\frac{15}{7}$ is greater than -3 and less than -2.

Hence, $-3<-\frac{15}{7}<-2$

Thus, $-\frac{15}{7}$ lies between -3 and -2.