What is 0.334 as a fraction?
0.334 as a fraction is 334/1000 and its simplest form is 167/500.
Learn how to find what is 0.334 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 0.334 in its equivalent fraction form. It is required to recognize the decimal point 0.334 as 334 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.334 as a fraction and how it can be found easily.
Summary: 0.334 in fraction form
0.334 can be recognized as 334 thousandths, which can be represented as 334/1000 in fraction form. The simplest form of 334/1000 is 167/500. Therefore, 0.334 as a fraction is 167/500.
Write 0.334 as a fraction in simplest form.
0.334 = (?)
0.334 = 0.334/1
= (0.334/1) x (1000/1000) //0.334 can be recognized as 334 thousandths.
= 334/1000 //334 thousandths is equal to 334/1000 and it can be simplified further.
= (334/2)/(1000/2) //2 is the GCF of 334 and 1000. Divide both 334 and 1000 by the GCF 2 to simplify the fraction.
= 167/500
0.334 = 167/500
0.334 in its simplest fraction form is 167/500.
So, what is the fraction of 0.334?
It is 334/1000 in fraction. To simplify 334/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 334 by 2 gives 167,
and dividing 1000 by 2 gives 500. Thus, 334/1000 simplifies to 167/500
Refer to the step by step work further to learn how to find what is 0.334 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.334
What to be found:
What is 0.334 as a fraction in simplest form?
step 2 Write 0.334 as a simple fraction.
0.334/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.334/1.
Since the decimal 0.334 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.334/1 to make numerator as a whole number.
(0.334 x 1000)/(1 x 1000) = 334/1000
step 4
334 thousandths is the fraction form of 0.334, however, it can be reduced further. To simplify 334/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 334 and 1000 cancel each other.
334/1000 = (2 x 167)/(2 x 500)
= 167/500
334/1000 = 167/500
Hence,
0.334 as a fraction is 167/500.
Converting decimals like 0.334 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.334 to fraction form. In this case, 0.334 can be recognized as 334 thousandths. So, the fraction form of 0.334 is 334/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 334/1000 in its simplest form.