The six rational numbers between and is ____.

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Detailed Solution

Concept:

are the six rational nos. between

and

Find six rational integers that fall between the two numbers supplied in this situation. Making their denominators the same, we shall take the LCM of the two numbers. By just examining the numerator of the two supplied numbers, we can then determine the numbers that lie between them. We may locate the necessary six rational numbers in this manner.
We have to find six rational numbers between

and

.
First of all, taking the LCM of denominators of the given rational numbers.
LCM of 2 and 4 is 4. This is because 2 is a factor of 4 .
Hence, multiplying the first rational number by 2 , we get the two rational numbers as:

And

Required rational numbers which lie between the given two numbers are:

These can also be written as:

Hence, the six rational numbers which lie between

and

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