Question

Find five rational numbers between $\frac{1}{4}$ and $\frac{1}{2}$.

Answer 1

Compute the required rational numbers:

A Rational number can be defined as, any number which can be expressed in $\frac{p}{q}$ form, where $q\ne 0$.

• Given two rational numbers are $\frac{1}{4}$ and $\frac{1}{2}$.
• By multiplying both numerator and denominator of $\frac{1}{4}$ by $6$, we get, $\frac{6}{24}$.
• By multiplying both numerator and denominator of $\frac{1}{2}$ by $12$, we get, $\frac{12}{24}$.
• Therefore, the rational numbers between $\frac{6}{24}$ and $\frac{12}{24}$ are $\frac{7}{24},\frac{8}{24},\frac{9}{24},\frac{10}{24}$ and $\frac{11}{24}$.

Hence, the five rational numbers between $\frac{1}{4}$ and $\frac{1}{2}$ are $\frac{7}{24},\frac{8}{24},\frac{9}{24},\frac{10}{24}$ and $\frac{11}{24}$.