Question

Write 10 rational numbers between 9/24 and 5/20​

Answer 1

Given: The two given numbers are $\frac{9}{24}$ and $\frac{5}{20}$.

To find: 10 rational numbers between $\frac{9}{24}$ and $\frac{5}{20}$.

Solution:

We need to follow the following mathematical process in order to answer this question.

Let the first number be $\frac{9}{24}$.

Let the second number be $\frac{5}{20}$.

We need to write these numbers in a way that both the numbers have same denominator.

We can simply multiply the first number by 40 and the second number by 48 to get the same denominator.

Multiplying the numerator and denominator of the first number by 40:

$\frac{9}{24}$ × $\frac{40}{40}$ = $\frac{360}{960}$

Now, multiplying the numerator and denominator of the second number by 48:

$\frac{5}{20}$ × $\frac{48}{48}$ = $\frac{240}{960}$

Now, write the numbers between $\frac{240}{960}$ and $\frac{360}{960}$.

So, the numbers will be $\frac{250}{960}$, $\frac{260}{960}$, $\frac{260}{960}$, $\frac{270}{960}$, $\frac{280}{960}$, $\frac{290}{960}$, $\frac{300}{960}$, $\frac{310}{960}, \frac{320}{960}$ and $\frac{330}{960}$.