What is 0.558 as a fraction?
0.558 as a fraction is 558/1000 and its simplest form is 279/500.
Learn how to find what is 0.558 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 0.558 in its equivalent fraction form. It is required to recognize the decimal point 0.558 as 558 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.558 as a fraction and how it can be found easily.
Summary: 0.558 in fraction form
0.558 can be recognized as 558 thousandths, which can be represented as 558/1000 in fraction form. The simplest form of 558/1000 is 279/500. Therefore, 0.558 as a fraction is 279/500.
Write 0.558 as a fraction in simplest form.
0.558 = (?)
0.558 = 0.558/1
= (0.558/1) x (1000/1000) //0.558 can be recognized as 558 thousandths.
= 558/1000 //558 thousandths is equal to 558/1000 and it can be simplified further.
= (558/2)/(1000/2) //2 is the GCF of 558 and 1000. Divide both 558 and 1000 by the GCF 2 to simplify the fraction.
= 279/500
0.558 = 279/500
0.558 in its simplest fraction form is 279/500.
So, what is the fraction of 0.558?
It is 558/1000 in fraction. To simplify 558/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 558 by 2 gives 279,
and dividing 1000 by 2 gives 500. Thus, 558/1000 simplifies to 279/500
Refer to the step by step work further to learn how to find what is 0.558 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.558
What to be found:
What is 0.558 as a fraction in simplest form?
step 2 Write 0.558 as a simple fraction.
0.558/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.558/1.
Since the decimal 0.558 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.558/1 to make numerator as a whole number.
(0.558 x 1000)/(1 x 1000) = 558/1000
step 4
558 thousandths is the fraction form of 0.558, however, it can be reduced further. To simplify 558/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 558 and 1000 cancel each other.
558/1000 = (2 x 279)/(2 x 500)
= 279/500
558/1000 = 279/500
Hence,
0.558 as a fraction is 279/500.
Converting decimals like 0.558 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.558 to fraction form. In this case, 0.558 can be recognized as 558 thousandths. So, the fraction form of 0.558 is 558/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 558/1000 in its simplest form.