Question

rational number between 3/4 and 9/11

Answer 1

Answer:

Some Rational Numbers between $\frac{3}{4}$  and  $\frac{9}{11}$  are

$\frac{34}{44}, \frac{35}{44}, \frac{331}{440}, \frac{332}{440}, \frac{339}{440}, \frac{352}{440}, ....$

Step-by-step explanation:

Given:

Two rational numbers 3/4 and 9/11

Here, the denominators are not the same.

Let's make the denominator of these two numbers same by taking LCM,

$= \frac{3}{4} \times \frac{11}{11}$  and  $\frac{9}{11} \times \frac{4}{4}$

$= \frac{33}{44}$  and  $\frac{36}{44}$

Now, the two numbers became $\frac{33}{44}$  and  $\frac{36}{44}$

2 rational numbers between them are $\frac{34}{44}$  and  $\frac{35}{44}$

If more rational numbers are to be found, it is not possible to find them by these numbers. So, we can write it as,

$\frac{33}{44}$  and  $\frac{36}{44}$

$= \frac{33}{44} \times \frac{10}{10}$  and  $= \frac{36}{44} \times \frac{10}{10}$

$= \frac{330}{440}$  and  $\frac{360}{440}$

Rational numbers between these 2 numbers can be

$\frac{331}{440}, \frac{332}{440}, \frac{333}{440}, \frac{334}{440}, \frac{335}{440}, ........., \frac{359}{440}$

What is a Rational number?

A rational number is any number that can be written in the form of p/q where p and q are integers and q≠0.

A rational number can also be defined as a number with terminating or non-terminating recurring decimal expansion.

Similar problems:

https://brainly.in/question/22800955

https://brainly.in/question/6376843

Answer 2

Answer:

The rational number between $\frac{33}{44}$ and $\frac{36}{44}$ is  $\frac{34}{44}$ .

Step-by-step explanation:

Explanation:

Given that, $\frac{3}{4}$ and $\frac{9}{11}$

According to the question we need to find out the rational number between  $\frac{3}{4}$ and $\frac{9}{11}$.

Rational number - A rational number can be stated mathematically as the ratio or fraction $\frac{p}{q}$ of two numbers, where p and q are the numerator and denominator, respectively.

Step 1:

We have,  $\frac{3}{4}$ and $\frac{9}{11}$

LCM of 4 and 11 is 44.

⇒ $\frac{3}{4}$ × $\frac{11}{11}$ = $\frac{33}{44}$ and  $\frac{9}{11}$ × $\frac{4}{4}$ = $\frac{36}{44}$

So, the rational number between $\frac{33}{44}$ and $\frac{36}{44}$ are $\frac{34}{44}$  and  $\frac{35}{44}$.

Final answer:

Hence, the rational number between $\frac{33}{44}$ and $\frac{36}{44}$ is  $\frac{34}{44}$.

#SPJ3