0.504 as a Fraction in Simplest Form

Learn how to find what is 0.504 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 0.504 in its equivalent fraction form. It is required to recognize the decimal point 0.504 as 504 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.504 as a fraction and how it can be found easily.

Summary: 0.504 in fraction form
0.504 can be recognized as 504 thousandths, which can be represented as 504/1000 in fraction form. The simplest form of 504/1000 is 63/125. Therefore, 0.504 as a fraction is 63/125.

Write 0.504 as a fraction in simplest form.
0.504 = (?)
0.504 = 0.504/1
= (0.504/1) x (1000/1000)      //0.504 can be recognized as 504 thousandths.
= 504/1000      //504 thousandths is equal to 504/1000 and it can be simplified further.
= (504/8)/(1000/8)       //8 is the GCF of 504 and 1000. Divide both 504 and 1000 by the GCF 8 to simplify the fraction.
= 63/125
0.504 = 63/125
0.504 in its simplest fraction form is 63/125.

So, what is the fraction of 0.504?
It is 504/1000 in fraction. To simplify 504/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 504 by 8 gives 63, and dividing 1000 by 8 gives 125. Thus, 504/1000 simplifies to 63/125

Refer to the step by step work further to learn how to find what is 0.504 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.504

What to be found:
What is 0.504 as a fraction in simplest form?

step 2 Write 0.504 as a simple fraction.
0.504/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.504/1.
Since the decimal 0.504 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.504/1 to make numerator as a whole number.
(0.504 x 1000)/(1 x 1000) = 504/1000

step 4 504 thousandths is the fraction form of 0.504, however, it can be reduced further. To simplify 504/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 504 and 1000 cancel each other.
504/1000 = (8 x 63)/(8 x 125)
= 63/125
504/1000 = 63/125
Hence,
0.504 as a fraction is 63/125.

Converting decimals like 0.504 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.504 to fraction form. In this case, 0.504 can be recognized as 504 thousandths. So, the fraction form of 0.504 is 504/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 504/1000 in its simplest form.