Question

find six rational number between 1/9 and 1/4

Answer 1

Answer:

5/36, 6/36, 7/36, 8/36 is the Answer

Step-by-step explanation:

As we know that The LCM of 9 and 4 is 36

1/9= 1*4/9*4= 4/36 and 1*9/4*9= 9/36

The Integers between 4 and 9 is
5,6,7,8

So the Answer is

4/36, 5/36, 6/36, 7/36, 8/36, 9/36

We Find rational numbers because numbers which can be expressed in the form of a fraction whose denominator is not equal to zero is called Rational Number.

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Answer 2

Answer:

$\frac{41}{360} \hspace{0.2cm},\hspace{0.2cm} \frac{42}{360} \hspace{0.2cm},\hspace{0.2cm} \frac{43}{360} \hspace{0.2cm},\hspace{0.2cm} \frac{44}{360} \hspace{0.2cm},\hspace{0.2cm} \frac{45}{360} \hspace{0.2cm},\hspace{0.2cm} \frac{46}{360}$

Step-by-step explanation:

To find out the rational numbers between two fractions, we need to make the denominator of both fractions the same.

$\implies$ LCM of $4$ and $9$ is $36$.

So, we need to make the denominator a multiple of $36$.

Hence, by multiplying the first fraction, i.e.  $\frac{1}{9}$  by $\frac{40}{40}$, we get

$\frac{1}{9}\times \frac{40}{40} = \frac{40}{360}$

Multiplying the second fraction, i.e.  $\frac{1}{4}$  by $\frac{90}{90}$ , we get

$\frac{1}{4} \times\frac{90}{90} = \frac{90}{360}$

Therefore, the number between $\frac{40}{360}$  and $\frac{90}{360}$ is  

$\frac{41}{360} \hspace{0.2cm},\hspace{0.2cm} \frac{42}{360} \hspace{0.2cm},\hspace{0.2cm} \frac{43}{360} \hspace{0.2cm},\hspace{0.2cm} \frac{44}{360} \hspace{0.2cm},\hspace{0.2cm} \frac{45}{360} \hspace{0.2cm},\hspace{0.2cm} \frac{46}{360}$

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