What is 0.318 as a fraction?
0.318 as a fraction is 318/1000 and its simplest form is 159/500.
Learn how to find what is 0.318 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 0.318 in its equivalent fraction form. It is required to recognize the decimal point 0.318 as 318 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.318 as a fraction and how it can be found easily.
Summary: 0.318 in fraction form
0.318 can be recognized as 318 thousandths, which can be represented as 318/1000 in fraction form. The simplest form of 318/1000 is 159/500. Therefore, 0.318 as a fraction is 159/500.
Write 0.318 as a fraction in simplest form.
0.318 = (?)
0.318 = 0.318/1
= (0.318/1) x (1000/1000) //0.318 can be recognized as 318 thousandths.
= 318/1000 //318 thousandths is equal to 318/1000 and it can be simplified further.
= (318/2)/(1000/2) //2 is the GCF of 318 and 1000. Divide both 318 and 1000 by the GCF 2 to simplify the fraction.
= 159/500
0.318 = 159/500
0.318 in its simplest fraction form is 159/500.
So, what is the fraction of 0.318?
It is 318/1000 in fraction. To simplify 318/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 318 by 2 gives 159,
and dividing 1000 by 2 gives 500. Thus, 318/1000 simplifies to 159/500
Refer to the step by step work further to learn how to find what is 0.318 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.318
What to be found:
What is 0.318 as a fraction in simplest form?
step 2 Write 0.318 as a simple fraction.
0.318/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.318/1.
Since the decimal 0.318 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.318/1 to make numerator as a whole number.
(0.318 x 1000)/(1 x 1000) = 318/1000
step 4
318 thousandths is the fraction form of 0.318, however, it can be reduced further. To simplify 318/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 318 and 1000 cancel each other.
318/1000 = (2 x 159)/(2 x 500)
= 159/500
318/1000 = 159/500
Hence,
0.318 as a fraction is 159/500.
Converting decimals like 0.318 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.318 to fraction form. In this case, 0.318 can be recognized as 318 thousandths. So, the fraction form of 0.318 is 318/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 318/1000 in its simplest form.