0.0204 as a Fraction in Simplest Form

Learn how to find what is 0.0204 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 0.0204 in its equivalent fraction form. It is required to recognize the decimal point 0.0204 as 204 ten-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.0204 as a fraction and how it can be found easily.

Summary: 0.0204 in fraction form
0.0204 can be recognized as 204 ten-thousandths, which can be represented as 204/10000 in fraction form. The simplest form of 204/10000 is 51/2500. Therefore, 0.0204 as a fraction is 51/2500.

Write 0.0204 as a fraction in simplest form.
0.0204 = (?)
0.0204 = 0.0204/1
= (0.0204/1) x (10000/10000)      //0.0204 can be recognized as 204 ten-thousandths.
= 204/10000      //204 ten-thousandths is equal to 204/10000 and it can be simplified further.
= (204/4)/(10000/4)       //4 is the GCF of 204 and 10000. Divide both 204 and 10000 by the GCF 4 to simplify the fraction.
= 51/2500
0.0204 = 51/2500
0.0204 in its simplest fraction form is 51/2500.

So, what is the fraction of 0.0204?
It is 204/10000 in fraction. To simplify 204/10000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 204 by 4 gives 51, and dividing 10000 by 4 gives 2500. Thus, 204/10000 simplifies to 51/2500

Refer to the step by step work further to learn how to find what is 0.0204 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.0204

What to be found:
What is 0.0204 as a fraction in simplest form?

step 2 Write 0.0204 as a simple fraction.
0.0204/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.0204/1.
Since the decimal 0.0204 has 4 digits after the decimal point, multiply 10000 with both numerator and denominator of 0.0204/1 to make numerator as a whole number.
(0.0204 x 10000)/(1 x 10000) = 204/10000

step 4 204 ten-thousandths is the fraction form of 0.0204, however, it can be reduced further. To simplify 204/10000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 204 and 10000 cancel each other.
204/10000 = (4 x 51)/(4 x 2500)
= 51/2500
204/10000 = 51/2500
Hence,
0.0204 as a fraction is 51/2500.

Converting decimals like 0.0204 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.0204 to fraction form. In this case, 0.0204 can be recognized as 204 ten-thousandths. So, the fraction form of 0.0204 is 204/10000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 204/10000 in its simplest form.