What is 0.316 as a fraction?
0.316 as a fraction is 316/1000 and its simplest form is 79/250.
Learn how to find what is 0.316 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 0.316 in its equivalent fraction form. It is required to recognize the decimal point 0.316 as 316 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.316 as a fraction and how it can be found easily.
Summary: 0.316 in fraction form
0.316 can be recognized as 316 thousandths, which can be represented as 316/1000 in fraction form. The simplest form of 316/1000 is 79/250. Therefore, 0.316 as a fraction is 79/250.
Write 0.316 as a fraction in simplest form.
0.316 = (?)
0.316 = 0.316/1
= (0.316/1) x (1000/1000) //0.316 can be recognized as 316 thousandths.
= 316/1000 //316 thousandths is equal to 316/1000 and it can be simplified further.
= (316/4)/(1000/4) //4 is the GCF of 316 and 1000. Divide both 316 and 1000 by the GCF 4 to simplify the fraction.
= 79/250
0.316 = 79/250
0.316 in its simplest fraction form is 79/250.
So, what is the fraction of 0.316?
It is 316/1000 in fraction. To simplify 316/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 316 by 4 gives 79,
and dividing 1000 by 4 gives 250. Thus, 316/1000 simplifies to 79/250
Refer to the step by step work further to learn how to find what is 0.316 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.316
What to be found:
What is 0.316 as a fraction in simplest form?
step 2 Write 0.316 as a simple fraction.
0.316/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.316/1.
Since the decimal 0.316 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.316/1 to make numerator as a whole number.
(0.316 x 1000)/(1 x 1000) = 316/1000
step 4
316 thousandths is the fraction form of 0.316, however, it can be reduced further. To simplify 316/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 316 and 1000 cancel each other.
316/1000 = (4 x 79)/(4 x 250)
= 79/250
316/1000 = 79/250
Hence,
0.316 as a fraction is 79/250.
Converting decimals like 0.316 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.316 to fraction form. In this case, 0.316 can be recognized as 316 thousandths. So, the fraction form of 0.316 is 316/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 316/1000 in its simplest form.