2/7+3/4=8+21/28 how Related: Rational number between two rational num...
Relation between two rational numbers
When we say that a certain number is a rational number between two rational numbers, it means that the number lies between these two rational numbers on the number line. In other words, the number can be expressed as a fraction whose numerator and denominator lie between the numerators and denominators of the given two rational numbers.
Example
Let's take the example of the given problem:
2/7 and 3/4
We have to find a rational number between these two rational numbers.
Solution
We can find a rational number between 2/7 and 3/4 by taking the average of these two numbers. This is because the average of two numbers always lies between them.
The average of 2/7 and 3/4 can be found by adding them and dividing by 2:
(2/7 + 3/4)/2 = (8/28 + 21/28)/2 = 29/56
Therefore, the rational number between 2/7 and 3/4 is 29/56.
Conclusion
In conclusion, a rational number between two rational numbers can be found by taking their average. This is because the average of two numbers always lies between them.