What is 0.315 as a fraction?
0.315 as a fraction is 315/1000 and its simplest form is 63/200.
Learn how to find what is 0.315 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 0.315 in its equivalent fraction form. It is required to recognize the decimal point 0.315 as 315 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.315 as a fraction and how it can be found easily.
Summary: 0.315 in fraction form
0.315 can be recognized as 315 thousandths, which can be represented as 315/1000 in fraction form. The simplest form of 315/1000 is 63/200. Therefore, 0.315 as a fraction is 63/200.
Write 0.315 as a fraction in simplest form.
0.315 = (?)
0.315 = 0.315/1
= (0.315/1) x (1000/1000) //0.315 can be recognized as 315 thousandths.
= 315/1000 //315 thousandths is equal to 315/1000 and it can be simplified further.
= (315/5)/(1000/5) //5 is the GCF of 315 and 1000. Divide both 315 and 1000 by the GCF 5 to simplify the fraction.
= 63/200
0.315 = 63/200
0.315 in its simplest fraction form is 63/200.
So, what is the fraction of 0.315?
It is 315/1000 in fraction. To simplify 315/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 315 by 5 gives 63,
and dividing 1000 by 5 gives 200. Thus, 315/1000 simplifies to 63/200
Refer to the step by step work further to learn how to find what is 0.315 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.315
What to be found:
What is 0.315 as a fraction in simplest form?
step 2 Write 0.315 as a simple fraction.
0.315/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.315/1.
Since the decimal 0.315 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.315/1 to make numerator as a whole number.
(0.315 x 1000)/(1 x 1000) = 315/1000
step 4
315 thousandths is the fraction form of 0.315, however, it can be reduced further. To simplify 315/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 315 and 1000 cancel each other.
315/1000 = (5 x 63)/(5 x 200)
= 63/200
315/1000 = 63/200
Hence,
0.315 as a fraction is 63/200.
Converting decimals like 0.315 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.315 to fraction form. In this case, 0.315 can be recognized as 315 thousandths. So, the fraction form of 0.315 is 315/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 315/1000 in its simplest form.