Question

The fraction $2\frac{3}{4}$ lies between ___.

[ $2$ and $3$/ $3$ and $4$]

Answer 1

The mixed numerical $2\frac{3}{4}$ can be rewritten as $\frac{\left(4\times 2\right)+3}{4}=\frac{11}{4}$.

The equivalent fraction for $2$ is $\frac{8}{4}$, $3$ is $\frac{12}{4}$ and $4$ is $\frac{16}{4}$. It is clear that $\frac{11}{4}$ lies between $\frac{8}{4}$ and $\frac{12}{4}$.

Hence, $2\frac{3}{4}$ lies between $2$ and $3$.