What is 0.636 as a fraction?
0.636 as a fraction is 636/1000 and its simplest form is 159/250.
Learn how to find what is 0.636 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 0.636 in its equivalent fraction form. It is required to recognize the decimal point 0.636 as 636 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.636 as a fraction and how it can be found easily.
Summary: 0.636 in fraction form
0.636 can be recognized as 636 thousandths, which can be represented as 636/1000 in fraction form. The simplest form of 636/1000 is 159/250. Therefore, 0.636 as a fraction is 159/250.
Write 0.636 as a fraction in simplest form.
0.636 = (?)
0.636 = 0.636/1
= (0.636/1) x (1000/1000) //0.636 can be recognized as 636 thousandths.
= 636/1000 //636 thousandths is equal to 636/1000 and it can be simplified further.
= (636/4)/(1000/4) //4 is the GCF of 636 and 1000. Divide both 636 and 1000 by the GCF 4 to simplify the fraction.
= 159/250
0.636 = 159/250
0.636 in its simplest fraction form is 159/250.
So, what is the fraction of 0.636?
It is 636/1000 in fraction. To simplify 636/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 636 by 4 gives 159,
and dividing 1000 by 4 gives 250. Thus, 636/1000 simplifies to 159/250
Refer to the step by step work further to learn how to find what is 0.636 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.636
What to be found:
What is 0.636 as a fraction in simplest form?
step 2 Write 0.636 as a simple fraction.
0.636/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.636/1.
Since the decimal 0.636 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.636/1 to make numerator as a whole number.
(0.636 x 1000)/(1 x 1000) = 636/1000
step 4
636 thousandths is the fraction form of 0.636, however, it can be reduced further. To simplify 636/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 636 and 1000 cancel each other.
636/1000 = (4 x 159)/(4 x 250)
= 159/250
636/1000 = 159/250
Hence,
0.636 as a fraction is 159/250.
Converting decimals like 0.636 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.636 to fraction form. In this case, 0.636 can be recognized as 636 thousandths. So, the fraction form of 0.636 is 636/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 636/1000 in its simplest form.