What is 0.404 as a fraction?
0.404 as a fraction is 404/1000 and its simplest form is 101/250.
Learn how to find what is 0.404 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 0.404 in its equivalent fraction form. It is required to recognize the decimal point 0.404 as 404 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.404 as a fraction and how it can be found easily.
Summary: 0.404 in fraction form
0.404 can be recognized as 404 thousandths, which can be represented as 404/1000 in fraction form. The simplest form of 404/1000 is 101/250. Therefore, 0.404 as a fraction is 101/250.
Write 0.404 as a fraction in simplest form.
0.404 = (?)
0.404 = 0.404/1
= (0.404/1) x (1000/1000) //0.404 can be recognized as 404 thousandths.
= 404/1000 //404 thousandths is equal to 404/1000 and it can be simplified further.
= (404/4)/(1000/4) //4 is the GCF of 404 and 1000. Divide both 404 and 1000 by the GCF 4 to simplify the fraction.
= 101/250
0.404 = 101/250
0.404 in its simplest fraction form is 101/250.
So, what is the fraction of 0.404?
It is 404/1000 in fraction. To simplify 404/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 404 by 4 gives 101,
and dividing 1000 by 4 gives 250. Thus, 404/1000 simplifies to 101/250
Refer to the step by step work further to learn how to find what is 0.404 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.404
What to be found:
What is 0.404 as a fraction in simplest form?
step 2 Write 0.404 as a simple fraction.
0.404/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.404/1.
Since the decimal 0.404 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.404/1 to make numerator as a whole number.
(0.404 x 1000)/(1 x 1000) = 404/1000
step 4
404 thousandths is the fraction form of 0.404, however, it can be reduced further. To simplify 404/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 404 and 1000 cancel each other.
404/1000 = (4 x 101)/(4 x 250)
= 101/250
404/1000 = 101/250
Hence,
0.404 as a fraction is 101/250.
Converting decimals like 0.404 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.404 to fraction form. In this case, 0.404 can be recognized as 404 thousandths. So, the fraction form of 0.404 is 404/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 404/1000 in its simplest form.