What is 0.506 as a fraction?
0.506 as a fraction is 506/1000 and its simplest form is 253/500.
Learn how to find what is 0.506 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 0.506 in its equivalent fraction form. It is required to recognize the decimal point 0.506 as 506 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.506 as a fraction and how it can be found easily.
Summary: 0.506 in fraction form
0.506 can be recognized as 506 thousandths, which can be represented as 506/1000 in fraction form. The simplest form of 506/1000 is 253/500. Therefore, 0.506 as a fraction is 253/500.
Write 0.506 as a fraction in simplest form.
0.506 = (?)
0.506 = 0.506/1
= (0.506/1) x (1000/1000) //0.506 can be recognized as 506 thousandths.
= 506/1000 //506 thousandths is equal to 506/1000 and it can be simplified further.
= (506/2)/(1000/2) //2 is the GCF of 506 and 1000. Divide both 506 and 1000 by the GCF 2 to simplify the fraction.
= 253/500
0.506 = 253/500
0.506 in its simplest fraction form is 253/500.
So, what is the fraction of 0.506?
It is 506/1000 in fraction. To simplify 506/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 506 by 2 gives 253,
and dividing 1000 by 2 gives 500. Thus, 506/1000 simplifies to 253/500
Refer to the step by step work further to learn how to find what is 0.506 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.506
What to be found:
What is 0.506 as a fraction in simplest form?
step 2 Write 0.506 as a simple fraction.
0.506/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.506/1.
Since the decimal 0.506 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.506/1 to make numerator as a whole number.
(0.506 x 1000)/(1 x 1000) = 506/1000
step 4
506 thousandths is the fraction form of 0.506, however, it can be reduced further. To simplify 506/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 506 and 1000 cancel each other.
506/1000 = (2 x 253)/(2 x 500)
= 253/500
506/1000 = 253/500
Hence,
0.506 as a fraction is 253/500.
Converting decimals like 0.506 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.506 to fraction form. In this case, 0.506 can be recognized as 506 thousandths. So, the fraction form of 0.506 is 506/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 506/1000 in its simplest form.