What is 0.584 as a fraction?
0.584 as a fraction is 584/1000 and its simplest form is 73/125.
Learn how to find what is 0.584 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 0.584 in its equivalent fraction form. It is required to recognize the decimal point 0.584 as 584 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.584 as a fraction and how it can be found easily.
Summary: 0.584 in fraction form
0.584 can be recognized as 584 thousandths, which can be represented as 584/1000 in fraction form. The simplest form of 584/1000 is 73/125. Therefore, 0.584 as a fraction is 73/125.
Write 0.584 as a fraction in simplest form.
0.584 = (?)
0.584 = 0.584/1
= (0.584/1) x (1000/1000) //0.584 can be recognized as 584 thousandths.
= 584/1000 //584 thousandths is equal to 584/1000 and it can be simplified further.
= (584/8)/(1000/8) //8 is the GCF of 584 and 1000. Divide both 584 and 1000 by the GCF 8 to simplify the fraction.
= 73/125
0.584 = 73/125
0.584 in its simplest fraction form is 73/125.
So, what is the fraction of 0.584?
It is 584/1000 in fraction. To simplify 584/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 584 by 8 gives 73,
and dividing 1000 by 8 gives 125. Thus, 584/1000 simplifies to 73/125
Refer to the step by step work further to learn how to find what is 0.584 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.584
What to be found:
What is 0.584 as a fraction in simplest form?
step 2 Write 0.584 as a simple fraction.
0.584/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.584/1.
Since the decimal 0.584 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.584/1 to make numerator as a whole number.
(0.584 x 1000)/(1 x 1000) = 584/1000
step 4
584 thousandths is the fraction form of 0.584, however, it can be reduced further. To simplify 584/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 584 and 1000 cancel each other.
584/1000 = (8 x 73)/(8 x 125)
= 73/125
584/1000 = 73/125
Hence,
0.584 as a fraction is 73/125.
Converting decimals like 0.584 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.584 to fraction form. In this case, 0.584 can be recognized as 584 thousandths. So, the fraction form of 0.584 is 584/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 584/1000 in its simplest form.