How to convert a decimal into a fraction

Take the following steps to convert a decimal into a fraction:

1. Write down the decimal number.
2. Convert it to a fraction by putting the number without decimal in the numerator and expressing the denominator in the powers of ten.
3. Convert the numerator and denominator in terms of the factors of their primes.
4. Cancel out all the possible prime factors from numerator and denominator.
5. Multiply the primes, and write down the number as a fraction.

The above mentioned method is used in the example given below:

1. Take a number, for example, 0.36.
2. It can be expressed as 36/100.
3. Expressing in terms of prime factors, we may write the fraction as follows: 36/100 = (2* 2 * 3 * 3)/(2 * 2 * 5 * 5)
4. In the expression (2* 2 * 3 * 3)/(2 * 2 * 5 * 5), cancel the primes from numerator and denominator.
5. We finally get the following expression: (3 * 3)/(5 * 5) = 9/25