Question

if p/q and r/s are any two rational numbers then the rational numbers between them is​

Answer 1

Answer:

answer is given for the given problem

Answer 2

Therefore the required rational number between p/q and r/s is ( ps + qr ) / 2sq

Given:

'p/q' and 'r/s' are two rational numbers given.

To Find:

The rational numbers between them.

Solution:

This given problem can be solved by using the below-shown approach.

Given that 'p/q' and 'r/s' are two rational numbers given.

The average of both the rational numbers gives the rational method which gives the rational number which lies between the given two rational numbers.

Average of 2 rational number = { ( p/q ) + ( r/s ) } / 2

⇒ Average of 2 rational number = { ( ps + qr ) / sq } / 2

⇒ Average of 2 rational number = ( ps + qr ) / 2sq

Again finding average of obtained rational number and any of the 2 rational numbers gives the rational number between those two.

Therefore the required rational number between p/q and r/s is ( ps + qr ) / 2sq.

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