# Find three rational numbers between 4 and 5.

Last updated date: 20th Mar 2023

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Answer

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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.

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.

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