What is 0.0225 as a fraction?

0.0225 as a fraction is 225/10000 and its simplest form is 9/400.

Learn how to find what is 0.0225 as a fraction in simplest form just in a few minutes. We have covered why the concept of place value and factorization is crucial to express decimal point 0.0225 in its equivalent fraction form. It is required to recognize the decimal point 0.0225 as 225 ten-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.0225 as a fraction and how it can be found easily.

__Summary: 0.0225 in fraction form__

0.0225 can be recognized as 225 ten-thousandths, which can be represented as 225/10000 in fraction form. The simplest form of 225/10000 is 9/400. Therefore, 0.0225 as a fraction is 9/400.

**Write 0.0225 as a fraction in simplest form.**

0.0225 = (?)

0.0225 = 0.0225/1

= (0.0225/1) x (10000/10000) //0.0225 can be recognized as 225 ten-thousandths.

= 225/10000 //225 ten-thousandths is equal to 225/10000 and it can be simplified further.

= (225/25)/(10000/25) //25 is the GCF of 225 and 10000. Divide both 225 and 10000 by the GCF 25 to simplify the fraction.

= 9/400

0.0225 = 9/400

0.0225 in its simplest fraction form is 9/400.

So, what is the fraction of 0.0225?

It is 225/10000 in fraction. To simplify 225/10000, both the numerator and denominator can be divided by their greatest common divisor, which is 25 in this case. Dividing 225 by 25 gives 9,
and dividing 10000 by 25 gives 400. Thus, 225/10000 simplifies to 9/400

Refer to the step by step work further to learn how to find what is 0.0225 as a fraction in simple form.

step 1
__Input values:__

The decimal number = 0.0225

__What to be found:__

What is 0.0225 as a fraction in simplest form?

step 2 Write 0.0225 as a simple fraction.

0.0225/1

step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.0225/1.

Since the decimal 0.0225 has 4 digits after the decimal point, multiply 10000 with both numerator and denominator of 0.0225/1 to make numerator as a whole number.

(0.0225 x 10000)/(1 x 10000) = 225/10000

step 4
225 ten-thousandths is the fraction form of 0.0225, however, it can be reduced further. To simplify 225/10000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 225 and 10000 cancel each other.

225/10000 = (25 x 9)/(25 x 400)

= 9/400

225/10000 = 9/400

Hence,

0.0225 as a fraction is 9/400.

Converting decimals like 0.0225 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.0225 to fraction form. In this case, 0.0225 can be recognized as 225 ten-thousandths. So, the fraction form of 0.0225 is 225/10000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 225/10000 in its simplest form.