Question

find out ratinao number lying bet ween 2/3 3/4​

Answer 1

Answer:

LCM = 12

2/3 * 4/4         3/4 * 3/3

8/12          9/12

8/12* 10/10                  9/12 * 10/10

80/120                         90/120

81/120, 82/120, 83/120, 84/120 ............ 89/120

Answer 2

Correct Question:

Find out rational numbers between 2/3 and 3/4.

$\huge\mathfrak\red{Answer:}$

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: 1/2, 3/4, 7/5 etc.

Given:

We have been given two rational numbers 2/3 and 3/4.

We know that there are infinite rational numbers between two rational numbers.

Inorder to find rational numbers between 2/3 and 3/4 we need to multiply by 40 in 2/3 and multiply by 30 in 3/4.

On multiplying by 40 in 2/3, we have

$\frac{2}{3} \times \frac{40}{40}$

$= \frac{80}{120}$

Now, on multiplying by 30 in 3/4, we have

$\frac{3}{4} \times \frac{30}{30}$

$= \frac{90}{120}$

Now, rational numbers between 80/120 and 90/120 are:

81/120, 82/120, 83/120, 84/120, 85/120 etc.

Hence, rational numbers between 2/3 and 3/4 are 81/120, 82/120, 83/120, 84/120, 85/120 etc.