What is 0.666 as a fraction?
0.666 as a fraction is 666/1000 and its simplest form is 333/500.
Learn how to find what is 0.666 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 0.666 in its equivalent fraction form. It is required to recognize the decimal point 0.666 as 666 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.666 as a fraction and how it can be found easily.
Summary: 0.666 in fraction form
0.666 can be recognized as 666 thousandths, which can be represented as 666/1000 in fraction form. The simplest form of 666/1000 is 333/500. Therefore, 0.666 as a fraction is 333/500.
Write 0.666 as a fraction in simplest form.
0.666 = (?)
0.666 = 0.666/1
= (0.666/1) x (1000/1000) //0.666 can be recognized as 666 thousandths.
= 666/1000 //666 thousandths is equal to 666/1000 and it can be simplified further.
= (666/2)/(1000/2) //2 is the GCF of 666 and 1000. Divide both 666 and 1000 by the GCF 2 to simplify the fraction.
= 333/500
0.666 = 333/500
0.666 in its simplest fraction form is 333/500.
So, what is the fraction of 0.666?
It is 666/1000 in fraction. To simplify 666/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 666 by 2 gives 333,
and dividing 1000 by 2 gives 500. Thus, 666/1000 simplifies to 333/500
Refer to the step by step work further to learn how to find what is 0.666 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.666
What to be found:
What is 0.666 as a fraction in simplest form?
step 2 Write 0.666 as a simple fraction.
0.666/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.666/1.
Since the decimal 0.666 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.666/1 to make numerator as a whole number.
(0.666 x 1000)/(1 x 1000) = 666/1000
step 4
666 thousandths is the fraction form of 0.666, however, it can be reduced further. To simplify 666/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 666 and 1000 cancel each other.
666/1000 = (2 x 333)/(2 x 500)
= 333/500
666/1000 = 333/500
Hence,
0.666 as a fraction is 333/500.
Converting decimals like 0.666 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.666 to fraction form. In this case, 0.666 can be recognized as 666 thousandths. So, the fraction form of 0.666 is 666/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 666/1000 in its simplest form.