2/7+3/4=8+21/28 how Related: Rational number between two rational numbers?

Question

2/7+3/4=8+21/28 how Related:  Rational number between two rational numbers?

Answer

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.

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