Question

find a rational number between 3 and 4
​

Answer 1

Answer:

7/2

Step-by-step explanation:

Given there are two numbers 3 and 4.

To find a rational number between them.

First of all,

We need to know,

What are rational numbers ??

• Simple definition is that, any number in the form of p/q , where p and q ate integers and q ≠ 0, are called rational numbers.
• For example, 0, -3, 5/3, 0.52, etc
• All natural numbers are rational number.
• All whole numbers are rational number.
• All integers are rational number.
• All decimals are rational number.
• All fraction are rational number.

Now, we know that,

3.5 comes in between 3 and 4.

Also, we can write 3.5 as 35/10 or 7/2

Hence, required rational number is 7/2.

Answer 2

$\huge\mathfrak{Answer:}$

Rational numbers:

• Rational numbers are the numbers that can be written in the form of p/q where p and q are integers and q is not equal to zero.
• Example: 2/3, 5/7 etc.
• All whole numbers are rational numbers.
• All Franctions, integers and decimals are rational numbers.

Given:

• We have been given two rational numbers 3 and 4.

To Find:

• We need to find rational numbers between 3 and 4.

Solution:

We have been given two rational numbers 3 and 4.

Inorder to find some rational numbers between 3 and 4, we need to multiply by 4/4 in both 3 and 4.

Therefore, we have

On multiplying by 4/4 in 3, we have

$\sf{ \dfrac{3}{1} \times \dfrac{4}{4} }$

$\implies\sf{ \dfrac{12}{4} }$

On multiplying by 4/4 in 4, we have

$\sf{ \dfrac{4}{1} \times \dfrac{4}{4} }$

$\implies\sf{ \dfrac{16}{4}}$

Now, rational numbers between 12/4 and 16/4 are:

13/4, 14/4, 15/4

Hence, rational numbers between 3 and 4 are 13/4, 14/4, 15/4.