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Question

Insert $$4$$ rational numbers between $$\cfrac{3}{4}$$ and $$1$$ without using $$\left (\cfrac { a+b }{ 2 }\right ) $$ formula.


Solution

To find: $$4$$ rational number between $$\dfrac34$$ and $$1.$$

Solution:
We can write $$\dfrac34$$ as $$\dfrac{30}{40}$$ and $$1$$ as $$\dfrac{40}{40}.$$

Since, denominators are same for $$\dfrac{30}{40}$$ and $$\dfrac{40}{40}.$$ So, we can keep increasing the numerator between $$30$$ and $$40$$ to get rational numbers between them.

Hence,$$\dfrac{31}{40},\dfrac{33}{40},\dfrac{37}{40}$$ and $$\dfrac{39}{40}$$ are the four required rational numbers between $$\dfrac34$$ and $$1.$$

Mathematics

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