What is 0.304 as a fraction?
0.304 as a fraction is 304/1000 and its simplest form is 38/125.
Learn how to find what is 0.304 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 0.304 in its equivalent fraction form. It is required to recognize the decimal point 0.304 as 304 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.304 as a fraction and how it can be found easily.
Summary: 0.304 in fraction form
0.304 can be recognized as 304 thousandths, which can be represented as 304/1000 in fraction form. The simplest form of 304/1000 is 38/125. Therefore, 0.304 as a fraction is 38/125.
Write 0.304 as a fraction in simplest form.
0.304 = (?)
0.304 = 0.304/1
= (0.304/1) x (1000/1000) //0.304 can be recognized as 304 thousandths.
= 304/1000 //304 thousandths is equal to 304/1000 and it can be simplified further.
= (304/8)/(1000/8) //8 is the GCF of 304 and 1000. Divide both 304 and 1000 by the GCF 8 to simplify the fraction.
= 38/125
0.304 = 38/125
0.304 in its simplest fraction form is 38/125.
So, what is the fraction of 0.304?
It is 304/1000 in fraction. To simplify 304/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 304 by 8 gives 38,
and dividing 1000 by 8 gives 125. Thus, 304/1000 simplifies to 38/125
Refer to the step by step work further to learn how to find what is 0.304 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.304
What to be found:
What is 0.304 as a fraction in simplest form?
step 2 Write 0.304 as a simple fraction.
0.304/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.304/1.
Since the decimal 0.304 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.304/1 to make numerator as a whole number.
(0.304 x 1000)/(1 x 1000) = 304/1000
step 4
304 thousandths is the fraction form of 0.304, however, it can be reduced further. To simplify 304/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 304 and 1000 cancel each other.
304/1000 = (8 x 38)/(8 x 125)
= 38/125
304/1000 = 38/125
Hence,
0.304 as a fraction is 38/125.
Converting decimals like 0.304 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.304 to fraction form. In this case, 0.304 can be recognized as 304 thousandths. So, the fraction form of 0.304 is 304/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 304/1000 in its simplest form.