Question

The number $\frac{-15}{7}$, on the number line, lies between which two integers?

Answer 1

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

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

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

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.