Question

find a rational number between 3 and 4​

Answer 1

Answer:

method one :

3/1 and 4/1

1. multiply denominators without any number but the denominator should be equal for both the numbers
2. I am multiplying with 12 and only we can get the denominator 12 as in both the cases
3. 3/1 × 12/12 = 36/12
4. 4/1 × 12/12 = 48/12
5. there are many rational number between 36/12 and 48/ 12 .
6. some are 37 /12 , 39/12 , 40/12 .....

method 2 :

1. it's like mean method
2. we have to add the numbers and divide it by 2
3. 3+4/2 = 7/2
4. 72 is a number between 3 and 4

thank you

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Answer 2

Step 1: Find the LCM of the denominators. But here the denominators are already equal so we don't need to do this step.

Step 2: Multiply the denominator and numerator by any number. Here I will multiply them by 10. You can multiply with any number you like.

$\frac{3\times10 }{1\times10 } =\frac{30}{10}\\\\\frac{4\times10 }{1\times10} =\frac{40}{10}$

Step 3: List the rational numbers between the two.

∴ The rational numbers between 3 and 4 are -

$\frac{31}{10},\frac{32}{10} ,\frac{33}{10},\frac{34}{10},\frac{35}{10},\frac{36}{10},\frac{37}{10},\frac{38}{10}\ and \ \frac{39}{10}$

Additional Information ❤

What is a rational number?

When a number can be represented in $\frac{p}{q}$ form where p and q are integers and $q\neq 0$ it is known to be a rational number.

What is an irrational number?

When a real number that cannot be written as a simple fraction it is known to be as irrational numbers. Basically, these numbers are not rational numbers.

Fun Fact about Irrational Number.

π (Pi) is a famous irrational number.

π = 3.1415926535897932384626433832795...

People believe that (Pi) is equal to  22/7 = 3.1428571428571 which is close but not accurate.

∴ π (Pi) is considered as an irrational number.