What is 0.204 as a fraction?
0.204 as a fraction is 204/1000 and its simplest form is 51/250.
Learn how to find what is 0.204 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 0.204 in its equivalent fraction form. It is required to recognize the decimal point 0.204 as 204 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.204 as a fraction and how it can be found easily.
Summary: 0.204 in fraction form
0.204 can be recognized as 204 thousandths, which can be represented as 204/1000 in fraction form. The simplest form of 204/1000 is 51/250. Therefore, 0.204 as a fraction is 51/250.
Write 0.204 as a fraction in simplest form.
0.204 = (?)
0.204 = 0.204/1
= (0.204/1) x (1000/1000) //0.204 can be recognized as 204 thousandths.
= 204/1000 //204 thousandths is equal to 204/1000 and it can be simplified further.
= (204/4)/(1000/4) //4 is the GCF of 204 and 1000. Divide both 204 and 1000 by the GCF 4 to simplify the fraction.
= 51/250
0.204 = 51/250
0.204 in its simplest fraction form is 51/250.
So, what is the fraction of 0.204?
It is 204/1000 in fraction. To simplify 204/1000, 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 1000 by 4 gives 250. Thus, 204/1000 simplifies to 51/250
Refer to the step by step work further to learn how to find what is 0.204 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.204
What to be found:
What is 0.204 as a fraction in simplest form?
step 2 Write 0.204 as a simple fraction.
0.204/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.204/1.
Since the decimal 0.204 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.204/1 to make numerator as a whole number.
(0.204 x 1000)/(1 x 1000) = 204/1000
step 4
204 thousandths is the fraction form of 0.204, however, it can be reduced further. To simplify 204/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 204 and 1000 cancel each other.
204/1000 = (4 x 51)/(4 x 250)
= 51/250
204/1000 = 51/250
Hence,
0.204 as a fraction is 51/250.
Converting decimals like 0.204 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.204 to fraction form. In this case, 0.204 can be recognized as 204 thousandths. So, the fraction form of 0.204 is 204/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 204/1000 in its simplest form.