What is 0.664 as a fraction?
0.664 as a fraction is 664/1000 and its simplest form is 83/125.
Learn how to find what is 0.664 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 0.664 in its equivalent fraction form. It is required to recognize the decimal point 0.664 as 664 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.664 as a fraction and how it can be found easily.
Summary: 0.664 in fraction form
0.664 can be recognized as 664 thousandths, which can be represented as 664/1000 in fraction form. The simplest form of 664/1000 is 83/125. Therefore, 0.664 as a fraction is 83/125.
Write 0.664 as a fraction in simplest form.
0.664 = (?)
0.664 = 0.664/1
= (0.664/1) x (1000/1000) //0.664 can be recognized as 664 thousandths.
= 664/1000 //664 thousandths is equal to 664/1000 and it can be simplified further.
= (664/8)/(1000/8) //8 is the GCF of 664 and 1000. Divide both 664 and 1000 by the GCF 8 to simplify the fraction.
= 83/125
0.664 = 83/125
0.664 in its simplest fraction form is 83/125.
So, what is the fraction of 0.664?
It is 664/1000 in fraction. To simplify 664/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 664 by 8 gives 83,
and dividing 1000 by 8 gives 125. Thus, 664/1000 simplifies to 83/125
Refer to the step by step work further to learn how to find what is 0.664 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.664
What to be found:
What is 0.664 as a fraction in simplest form?
step 2 Write 0.664 as a simple fraction.
0.664/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.664/1.
Since the decimal 0.664 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.664/1 to make numerator as a whole number.
(0.664 x 1000)/(1 x 1000) = 664/1000
step 4
664 thousandths is the fraction form of 0.664, however, it can be reduced further. To simplify 664/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 664 and 1000 cancel each other.
664/1000 = (8 x 83)/(8 x 125)
= 83/125
664/1000 = 83/125
Hence,
0.664 as a fraction is 83/125.
Converting decimals like 0.664 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.664 to fraction form. In this case, 0.664 can be recognized as 664 thousandths. So, the fraction form of 0.664 is 664/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 664/1000 in its simplest form.