Anurupye Shunyamanyat

 Anurupye Shunyamanyat is a Vedic Mathematics sutra that deals with division problems involving fractions. The phrase can be translated as "If one is in a ratio, the other is zero."

This sutra is used when you have a fraction with two terms in the numerator and denominator and one term in the numerator is the same as one term in the denominator. In such cases, the other term in the denominator becomes zero.

Let's go through an example to illustrate the process:


Example: Simplify the fraction (16x^2 - 4x) / (4x^2 - x) using "Anurupye Shunyamanyat."

Step 1: Identify the common term. In the numerator, we have (16x^2 - 4x), and in the denominator, we have (4x^2 - x). Both of them have a common term '4x.'

Step 2: Apply "Anurupye Shunyamanyat."

When we find the common term in both the numerator and denominator, the other term in the denominator becomes zero.

So, the simplified fraction is:

(16x^2 - 4x) / (4x^2 - x) = (4x * (4x - 1)) / (4x^2 - x)

By applying "Anurupye Shunyamanyat," we eliminated the common term (4x) from both the numerator and denominator, leaving us with a simplified expression.

It's important to note that "Anurupye Shunyamanyat" is a specific technique used for certain division problems involving fractions with common terms. It may not be applicable in all division situations but can be helpful when simplifying expressions where this condition is met.








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