What is 0.638 as a fraction?
0.638 as a fraction is 638/1000 and its simplest form is 319/500.
Learn how to find what is 0.638 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 0.638 in its equivalent fraction form. It is required to recognize the decimal point 0.638 as 638 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.638 as a fraction and how it can be found easily.
Summary: 0.638 in fraction form
0.638 can be recognized as 638 thousandths, which can be represented as 638/1000 in fraction form. The simplest form of 638/1000 is 319/500. Therefore, 0.638 as a fraction is 319/500.
Write 0.638 as a fraction in simplest form.
0.638 = (?)
0.638 = 0.638/1
= (0.638/1) x (1000/1000) //0.638 can be recognized as 638 thousandths.
= 638/1000 //638 thousandths is equal to 638/1000 and it can be simplified further.
= (638/2)/(1000/2) //2 is the GCF of 638 and 1000. Divide both 638 and 1000 by the GCF 2 to simplify the fraction.
= 319/500
0.638 = 319/500
0.638 in its simplest fraction form is 319/500.
So, what is the fraction of 0.638?
It is 638/1000 in fraction. To simplify 638/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 638 by 2 gives 319,
and dividing 1000 by 2 gives 500. Thus, 638/1000 simplifies to 319/500
Refer to the step by step work further to learn how to find what is 0.638 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.638
What to be found:
What is 0.638 as a fraction in simplest form?
step 2 Write 0.638 as a simple fraction.
0.638/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.638/1.
Since the decimal 0.638 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.638/1 to make numerator as a whole number.
(0.638 x 1000)/(1 x 1000) = 638/1000
step 4
638 thousandths is the fraction form of 0.638, however, it can be reduced further. To simplify 638/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 638 and 1000 cancel each other.
638/1000 = (2 x 319)/(2 x 500)
= 319/500
638/1000 = 319/500
Hence,
0.638 as a fraction is 319/500.
Converting decimals like 0.638 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.638 to fraction form. In this case, 0.638 can be recognized as 638 thousandths. So, the fraction form of 0.638 is 638/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 638/1000 in its simplest form.