What is 0.585 as a fraction?
0.585 as a fraction is 585/1000 and its simplest form is 117/200.
Learn how to find what is 0.585 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 0.585 in its equivalent fraction form. It is required to recognize the decimal point 0.585 as 585 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.585 as a fraction and how it can be found easily.
Summary: 0.585 in fraction form
0.585 can be recognized as 585 thousandths, which can be represented as 585/1000 in fraction form. The simplest form of 585/1000 is 117/200. Therefore, 0.585 as a fraction is 117/200.
Write 0.585 as a fraction in simplest form.
0.585 = (?)
0.585 = 0.585/1
= (0.585/1) x (1000/1000) //0.585 can be recognized as 585 thousandths.
= 585/1000 //585 thousandths is equal to 585/1000 and it can be simplified further.
= (585/5)/(1000/5) //5 is the GCF of 585 and 1000. Divide both 585 and 1000 by the GCF 5 to simplify the fraction.
= 117/200
0.585 = 117/200
0.585 in its simplest fraction form is 117/200.
So, what is the fraction of 0.585?
It is 585/1000 in fraction. To simplify 585/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 585 by 5 gives 117,
and dividing 1000 by 5 gives 200. Thus, 585/1000 simplifies to 117/200
Refer to the step by step work further to learn how to find what is 0.585 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.585
What to be found:
What is 0.585 as a fraction in simplest form?
step 2 Write 0.585 as a simple fraction.
0.585/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.585/1.
Since the decimal 0.585 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.585/1 to make numerator as a whole number.
(0.585 x 1000)/(1 x 1000) = 585/1000
step 4
585 thousandths is the fraction form of 0.585, however, it can be reduced further. To simplify 585/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 585 and 1000 cancel each other.
585/1000 = (5 x 117)/(5 x 200)
= 117/200
585/1000 = 117/200
Hence,
0.585 as a fraction is 117/200.
Converting decimals like 0.585 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.585 to fraction form. In this case, 0.585 can be recognized as 585 thousandths. So, the fraction form of 0.585 is 585/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 585/1000 in its simplest form.