What is 0.398 as a fraction?
0.398 as a fraction is 398/1000 and its simplest form is 199/500.
Learn how to find what is 0.398 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 0.398 in its equivalent fraction form. It is required to recognize the decimal point 0.398 as 398 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.398 as a fraction and how it can be found easily.
Summary: 0.398 in fraction form
0.398 can be recognized as 398 thousandths, which can be represented as 398/1000 in fraction form. The simplest form of 398/1000 is 199/500. Therefore, 0.398 as a fraction is 199/500.
Write 0.398 as a fraction in simplest form.
0.398 = (?)
0.398 = 0.398/1
= (0.398/1) x (1000/1000) //0.398 can be recognized as 398 thousandths.
= 398/1000 //398 thousandths is equal to 398/1000 and it can be simplified further.
= (398/2)/(1000/2) //2 is the GCF of 398 and 1000. Divide both 398 and 1000 by the GCF 2 to simplify the fraction.
= 199/500
0.398 = 199/500
0.398 in its simplest fraction form is 199/500.
So, what is the fraction of 0.398?
It is 398/1000 in fraction. To simplify 398/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 398 by 2 gives 199,
and dividing 1000 by 2 gives 500. Thus, 398/1000 simplifies to 199/500
Refer to the step by step work further to learn how to find what is 0.398 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.398
What to be found:
What is 0.398 as a fraction in simplest form?
step 2 Write 0.398 as a simple fraction.
0.398/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.398/1.
Since the decimal 0.398 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.398/1 to make numerator as a whole number.
(0.398 x 1000)/(1 x 1000) = 398/1000
step 4
398 thousandths is the fraction form of 0.398, however, it can be reduced further. To simplify 398/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 398 and 1000 cancel each other.
398/1000 = (2 x 199)/(2 x 500)
= 199/500
398/1000 = 199/500
Hence,
0.398 as a fraction is 199/500.
Converting decimals like 0.398 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.398 to fraction form. In this case, 0.398 can be recognized as 398 thousandths. So, the fraction form of 0.398 is 398/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 398/1000 in its simplest form.