Question

Which numbers lie between $\frac{25}{4}$and $\frac{22}{3}$ ?

Answer 1

Determine the numbers that lie between $\frac{25}{4}$and $\frac{22}{3}$.

Find the LCM of $\frac{25}{4}$and$\frac{22}{3}$ and by using the denominators $4and3$ is $12$ will equate the denominator fractions to$12$ we get,

$$\begin{gathered} \Rightarrow 25\times \frac{3}{4}\times 3=\frac{75}{12} \\ \Rightarrow 22\times \frac{4}{3}\times 4=\frac{88}{12} \end{gathered}$$

Hence, the numbers that lie between $\frac{75}{12}$ and $\frac{88}{12}$ are “$\frac{76}{12},\frac{77}{12},\frac{78}{12},\frac{79}{12},\frac{80}{12},\frac{81}{12},\frac{82}{12},\frac{83}{12},\frac{84}{12},\frac{85}{12},\frac{86}{12},\frac{87}{12}$”.