   Question Answers

# Find three rational numbers between 4 and 5.  Verified
147.6k+ views
Hint: In order to solve this question obtain fractional numbers between them by doing the $\dfrac{{{\text{a + b}}}}{{\text{c}}}$ where c is greater than one.
As we know rational numbers are those which can be expressed in the form $\dfrac{p}{q}$.
Where q is not equal to zero.
Therefore the rational number between two numbers say a and b can be obtained by doing the operation $\dfrac{{{\text{a + b}}}}{2}$.
Therefore the rational number between 5 and 4 is
$\dfrac{{4 + 5}}{2} = \dfrac{9}{2}$
The rational number between 5 and $\dfrac{9}{2}$ is
$\dfrac{{5 + \dfrac{9}{2}}}{2} = \dfrac{{19}}{4}$
The rational number between 5 and $\dfrac{{19}}{4}$ is
$\dfrac{{5 + \dfrac{{19}}{4}}}{2} = \dfrac{{39}}{8}$
Therefore the 3 rational numbers between 4 & 5 are

$\dfrac{9}{2},\dfrac{{19}}{2},\dfrac{{39}}{2}$.

Note: In mathematics, a rational number is a number that can be expressed as the quotient or fraction $\dfrac{p}{q}$ of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.