0.502 as a Fraction in Simplest Form

Learn how to find what is 0.502 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 0.502 in its equivalent fraction form. It is required to recognize the decimal point 0.502 as 502 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.502 as a fraction and how it can be found easily.

Summary: 0.502 in fraction form
0.502 can be recognized as 502 thousandths, which can be represented as 502/1000 in fraction form. The simplest form of 502/1000 is 251/500. Therefore, 0.502 as a fraction is 251/500.

Write 0.502 as a fraction in simplest form.
0.502 = (?)
0.502 = 0.502/1
= (0.502/1) x (1000/1000)      //0.502 can be recognized as 502 thousandths.
= 502/1000      //502 thousandths is equal to 502/1000 and it can be simplified further.
= (502/2)/(1000/2)       //2 is the GCF of 502 and 1000. Divide both 502 and 1000 by the GCF 2 to simplify the fraction.
= 251/500
0.502 = 251/500
0.502 in its simplest fraction form is 251/500.

So, what is the fraction of 0.502?
It is 502/1000 in fraction. To simplify 502/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 502 by 2 gives 251, and dividing 1000 by 2 gives 500. Thus, 502/1000 simplifies to 251/500

Refer to the step by step work further to learn how to find what is 0.502 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.502

What to be found:
What is 0.502 as a fraction in simplest form?

step 2 Write 0.502 as a simple fraction.
0.502/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.502/1.
Since the decimal 0.502 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.502/1 to make numerator as a whole number.
(0.502 x 1000)/(1 x 1000) = 502/1000

step 4 502 thousandths is the fraction form of 0.502, however, it can be reduced further. To simplify 502/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 502 and 1000 cancel each other.
502/1000 = (2 x 251)/(2 x 500)
= 251/500
502/1000 = 251/500
Hence,
0.502 as a fraction is 251/500.

Converting decimals like 0.502 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.502 to fraction form. In this case, 0.502 can be recognized as 502 thousandths. So, the fraction form of 0.502 is 502/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 502/1000 in its simplest form.