0.508 as a Fraction in Simplest Form

Learn how to find what is 0.508 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 0.508 in its equivalent fraction form. It is required to recognize the decimal point 0.508 as 508 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.508 as a fraction and how it can be found easily.

Summary: 0.508 in fraction form
0.508 can be recognized as 508 thousandths, which can be represented as 508/1000 in fraction form. The simplest form of 508/1000 is 127/250. Therefore, 0.508 as a fraction is 127/250.

Write 0.508 as a fraction in simplest form.
0.508 = (?)
0.508 = 0.508/1
= (0.508/1) x (1000/1000)      //0.508 can be recognized as 508 thousandths.
= 508/1000      //508 thousandths is equal to 508/1000 and it can be simplified further.
= (508/4)/(1000/4)       //4 is the GCF of 508 and 1000. Divide both 508 and 1000 by the GCF 4 to simplify the fraction.
= 127/250
0.508 = 127/250
0.508 in its simplest fraction form is 127/250.

So, what is the fraction of 0.508?
It is 508/1000 in fraction. To simplify 508/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 508 by 4 gives 127, and dividing 1000 by 4 gives 250. Thus, 508/1000 simplifies to 127/250

Refer to the step by step work further to learn how to find what is 0.508 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.508

What to be found:
What is 0.508 as a fraction in simplest form?

step 2 Write 0.508 as a simple fraction.
0.508/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.508/1.
Since the decimal 0.508 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.508/1 to make numerator as a whole number.
(0.508 x 1000)/(1 x 1000) = 508/1000

step 4 508 thousandths is the fraction form of 0.508, however, it can be reduced further. To simplify 508/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 508 and 1000 cancel each other.
508/1000 = (4 x 127)/(4 x 250)
= 127/250
508/1000 = 127/250
Hence,
0.508 as a fraction is 127/250.

Converting decimals like 0.508 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.508 to fraction form. In this case, 0.508 can be recognized as 508 thousandths. So, the fraction form of 0.508 is 508/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 508/1000 in its simplest form.