What is 0.964 as a fraction?
0.964 as a fraction is 964/1000 and its simplest form is 241/250.
Learn how to find what is 0.964 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 0.964 in its equivalent fraction form. It is required to recognize the decimal point 0.964 as 964 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.964 as a fraction and how it can be found easily.
Summary: 0.964 in fraction form
0.964 can be recognized as 964 thousandths, which can be represented as 964/1000 in fraction form. The simplest form of 964/1000 is 241/250. Therefore, 0.964 as a fraction is 241/250.
Write 0.964 as a fraction in simplest form.
0.964 = (?)
0.964 = 0.964/1
= (0.964/1) x (1000/1000) //0.964 can be recognized as 964 thousandths.
= 964/1000 //964 thousandths is equal to 964/1000 and it can be simplified further.
= (964/4)/(1000/4) //4 is the GCF of 964 and 1000. Divide both 964 and 1000 by the GCF 4 to simplify the fraction.
= 241/250
0.964 = 241/250
0.964 in its simplest fraction form is 241/250.
So, what is the fraction of 0.964?
It is 964/1000 in fraction. To simplify 964/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 964 by 4 gives 241,
and dividing 1000 by 4 gives 250. Thus, 964/1000 simplifies to 241/250
Refer to the step by step work further to learn how to find what is 0.964 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.964
What to be found:
What is 0.964 as a fraction in simplest form?
step 2 Write 0.964 as a simple fraction.
0.964/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.964/1.
Since the decimal 0.964 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.964/1 to make numerator as a whole number.
(0.964 x 1000)/(1 x 1000) = 964/1000
step 4
964 thousandths is the fraction form of 0.964, however, it can be reduced further. To simplify 964/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 964 and 1000 cancel each other.
964/1000 = (4 x 241)/(4 x 250)
= 241/250
964/1000 = 241/250
Hence,
0.964 as a fraction is 241/250.
Converting decimals like 0.964 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.964 to fraction form. In this case, 0.964 can be recognized as 964 thousandths. So, the fraction form of 0.964 is 964/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 964/1000 in its simplest form.