Question

why do we get a rational number lying between two given rational numbers by average method or LCM method​

Answer 1

Answer:

adding subtraction multiplication division of rational numbers give rational number

Answer 2

Step-by-step explanation:

1. In an Average method or we can also say the Mean method of getting a rational number between two rational numbers is as follows:

=> Consider the given 2 rational numbers

3 & 4

5 5

=> Find the mean or average between them

3 + 4

5 5 = 7

2 10

=> Find the average of the first rational number and the average obtained in the second step.

3 + 7 3x2+7

5 10 = 10 = 13

2 2 20

=> Find the mean of the second rational number and the mean obtained in the previous step.

4 + 7 4x2+7

5 10 = 10 = 15

2 2 20

=> Continue the process till the desired number of rational numbers are found.

=> Write the rational numbers found in the previous step.

2. LCM method is a much simpler method to find rational numbers between two rational numbers, so let's see how it's done:

=> First, find the LCM of the denominators.

=> Convert the rational numbers to the equivalent rational numbers with the LCM as the common denominator.

=> Keeping the LCM as the denominator, choose integers in-between the numerators of the equivalent rational numbers as numerators.

Hope this helps you mate, and pls at least thank me because lot time and effort in writing this : )