What is 0.646 as a fraction?
0.646 as a fraction is 646/1000 and its simplest form is 323/500.
Learn how to find what is 0.646 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 0.646 in its equivalent fraction form. It is required to recognize the decimal point 0.646 as 646 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.646 as a fraction and how it can be found easily.
Summary: 0.646 in fraction form
0.646 can be recognized as 646 thousandths, which can be represented as 646/1000 in fraction form. The simplest form of 646/1000 is 323/500. Therefore, 0.646 as a fraction is 323/500.
Write 0.646 as a fraction in simplest form.
0.646 = (?)
0.646 = 0.646/1
= (0.646/1) x (1000/1000) //0.646 can be recognized as 646 thousandths.
= 646/1000 //646 thousandths is equal to 646/1000 and it can be simplified further.
= (646/2)/(1000/2) //2 is the GCF of 646 and 1000. Divide both 646 and 1000 by the GCF 2 to simplify the fraction.
= 323/500
0.646 = 323/500
0.646 in its simplest fraction form is 323/500.
So, what is the fraction of 0.646?
It is 646/1000 in fraction. To simplify 646/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 646 by 2 gives 323,
and dividing 1000 by 2 gives 500. Thus, 646/1000 simplifies to 323/500
Refer to the step by step work further to learn how to find what is 0.646 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.646
What to be found:
What is 0.646 as a fraction in simplest form?
step 2 Write 0.646 as a simple fraction.
0.646/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.646/1.
Since the decimal 0.646 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.646/1 to make numerator as a whole number.
(0.646 x 1000)/(1 x 1000) = 646/1000
step 4
646 thousandths is the fraction form of 0.646, however, it can be reduced further. To simplify 646/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 646 and 1000 cancel each other.
646/1000 = (2 x 323)/(2 x 500)
= 323/500
646/1000 = 323/500
Hence,
0.646 as a fraction is 323/500.
Converting decimals like 0.646 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.646 to fraction form. In this case, 0.646 can be recognized as 646 thousandths. So, the fraction form of 0.646 is 646/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 646/1000 in its simplest form.