What is 0.312 as a fraction?
0.312 as a fraction is 312/1000 and its simplest form is 39/125.
Learn how to find what is 0.312 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 0.312 in its equivalent fraction form. It is required to recognize the decimal point 0.312 as 312 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.312 as a fraction and how it can be found easily.
Summary: 0.312 in fraction form
0.312 can be recognized as 312 thousandths, which can be represented as 312/1000 in fraction form. The simplest form of 312/1000 is 39/125. Therefore, 0.312 as a fraction is 39/125.
Write 0.312 as a fraction in simplest form.
0.312 = (?)
0.312 = 0.312/1
= (0.312/1) x (1000/1000) //0.312 can be recognized as 312 thousandths.
= 312/1000 //312 thousandths is equal to 312/1000 and it can be simplified further.
= (312/8)/(1000/8) //8 is the GCF of 312 and 1000. Divide both 312 and 1000 by the GCF 8 to simplify the fraction.
= 39/125
0.312 = 39/125
0.312 in its simplest fraction form is 39/125.
So, what is the fraction of 0.312?
It is 312/1000 in fraction. To simplify 312/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 312 by 8 gives 39,
and dividing 1000 by 8 gives 125. Thus, 312/1000 simplifies to 39/125
Refer to the step by step work further to learn how to find what is 0.312 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.312
What to be found:
What is 0.312 as a fraction in simplest form?
step 2 Write 0.312 as a simple fraction.
0.312/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.312/1.
Since the decimal 0.312 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.312/1 to make numerator as a whole number.
(0.312 x 1000)/(1 x 1000) = 312/1000
step 4
312 thousandths is the fraction form of 0.312, however, it can be reduced further. To simplify 312/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 312 and 1000 cancel each other.
312/1000 = (8 x 39)/(8 x 125)
= 39/125
312/1000 = 39/125
Hence,
0.312 as a fraction is 39/125.
Converting decimals like 0.312 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.312 to fraction form. In this case, 0.312 can be recognized as 312 thousandths. So, the fraction form of 0.312 is 312/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 312/1000 in its simplest form.