Question

Prove that if then each is equal to . Is this true for other numbers, instead of 2 and 5?

Answer 1

We have

, i.e., the fractions are the different forms of the same number.

Let

⇒ x = = uz and y = = vz

_{As , we get:}

Let us suppose we have numbers a and b, c and d instead of 2 and 5 in the given equation.

Therefore, we need to show

_{As , we get:}

Hence, we can use any number instead of the numbers 2 and 5 for the given equation to hold true.