Theory:

In our currency system, we use $$50$$ paise, $$75$$ paise and $$25$$ paise, which are actually in decimal form like $$₹ 0.50$$ paise, $$₹ 0.75$$ paise and $$₹ 0.25$$. We use these decimal numbers for precise value.

But how do we convert these decimal number to rational number?

Simply multiplying the decimal by $$10$$, $$100$$ or $$1000$$ depends on the decimal point of the decimal numbers.

Now let us see a few steps to write a decimal to a rational number.

Steps to convert the decimal to a rational number:
1. Multiply the decimal number on numerator and denominator by $$10$$, $$100$$ or $$1000$$ depends on the decimal point of the given number.

2. Once the decimal is removed simplify it, then the product will be a rational number.
Example:
Convert the decimal number to a rational number.

1) 2.4

Apply the theory mentioned above.

The given decimal number has one decimal point. Therefore to remove that one decimal point, multiply the decimal number by $$10$$.

So, $2.4=\frac{2.4}{1}=\frac{2.4×10}{1×10}=\frac{24}{10}$.

Therefore the conversion of 2.4 to rational form is $$=$$ $\frac{24}{10}$.

2) 5.22

The given decimal number has two decimal point. Therefore to remove that two decimal point, multiply the decimal number by $$100$$.

$5.22=\frac{5.22}{1}=\frac{5.22×100}{1×100}=\frac{522}{100}$.

3) 6.004

The given decimal number has three decimal point. Therefore to remove that three decimal point, multiply the decimal number by $$1000$$.

$6.004=\frac{6.004}{1}=\frac{6.004×1000}{1×1000}=\frac{6004}{1000}$.