What is 0.966 as a fraction?
0.966 as a fraction is 966/1000 and its simplest form is 483/500.
Learn how to find what is 0.966 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 0.966 in its equivalent fraction form. It is required to recognize the decimal point 0.966 as 966 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.966 as a fraction and how it can be found easily.
Summary: 0.966 in fraction form
0.966 can be recognized as 966 thousandths, which can be represented as 966/1000 in fraction form. The simplest form of 966/1000 is 483/500. Therefore, 0.966 as a fraction is 483/500.
Write 0.966 as a fraction in simplest form.
0.966 = (?)
0.966 = 0.966/1
= (0.966/1) x (1000/1000) //0.966 can be recognized as 966 thousandths.
= 966/1000 //966 thousandths is equal to 966/1000 and it can be simplified further.
= (966/2)/(1000/2) //2 is the GCF of 966 and 1000. Divide both 966 and 1000 by the GCF 2 to simplify the fraction.
= 483/500
0.966 = 483/500
0.966 in its simplest fraction form is 483/500.
So, what is the fraction of 0.966?
It is 966/1000 in fraction. To simplify 966/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 966 by 2 gives 483,
and dividing 1000 by 2 gives 500. Thus, 966/1000 simplifies to 483/500
Refer to the step by step work further to learn how to find what is 0.966 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.966
What to be found:
What is 0.966 as a fraction in simplest form?
step 2 Write 0.966 as a simple fraction.
0.966/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.966/1.
Since the decimal 0.966 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.966/1 to make numerator as a whole number.
(0.966 x 1000)/(1 x 1000) = 966/1000
step 4
966 thousandths is the fraction form of 0.966, however, it can be reduced further. To simplify 966/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 966 and 1000 cancel each other.
966/1000 = (2 x 483)/(2 x 500)
= 483/500
966/1000 = 483/500
Hence,
0.966 as a fraction is 483/500.
Converting decimals like 0.966 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.966 to fraction form. In this case, 0.966 can be recognized as 966 thousandths. So, the fraction form of 0.966 is 966/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 966/1000 in its simplest form.