What is 0.564 as a fraction?
0.564 as a fraction is 564/1000 and its simplest form is 141/250.
Learn how to find what is 0.564 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 0.564 in its equivalent fraction form. It is required to recognize the decimal point 0.564 as 564 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.564 as a fraction and how it can be found easily.
Summary: 0.564 in fraction form
0.564 can be recognized as 564 thousandths, which can be represented as 564/1000 in fraction form. The simplest form of 564/1000 is 141/250. Therefore, 0.564 as a fraction is 141/250.
Write 0.564 as a fraction in simplest form.
0.564 = (?)
0.564 = 0.564/1
= (0.564/1) x (1000/1000) //0.564 can be recognized as 564 thousandths.
= 564/1000 //564 thousandths is equal to 564/1000 and it can be simplified further.
= (564/4)/(1000/4) //4 is the GCF of 564 and 1000. Divide both 564 and 1000 by the GCF 4 to simplify the fraction.
= 141/250
0.564 = 141/250
0.564 in its simplest fraction form is 141/250.
So, what is the fraction of 0.564?
It is 564/1000 in fraction. To simplify 564/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 564 by 4 gives 141,
and dividing 1000 by 4 gives 250. Thus, 564/1000 simplifies to 141/250
Refer to the step by step work further to learn how to find what is 0.564 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.564
What to be found:
What is 0.564 as a fraction in simplest form?
step 2 Write 0.564 as a simple fraction.
0.564/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.564/1.
Since the decimal 0.564 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.564/1 to make numerator as a whole number.
(0.564 x 1000)/(1 x 1000) = 564/1000
step 4
564 thousandths is the fraction form of 0.564, however, it can be reduced further. To simplify 564/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 564 and 1000 cancel each other.
564/1000 = (4 x 141)/(4 x 250)
= 141/250
564/1000 = 141/250
Hence,
0.564 as a fraction is 141/250.
Converting decimals like 0.564 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.564 to fraction form. In this case, 0.564 can be recognized as 564 thousandths. So, the fraction form of 0.564 is 564/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 564/1000 in its simplest form.