0.505 as a Fraction in Simplest Form

Learn how to find what is 0.505 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 0.505 in its equivalent fraction form. It is required to recognize the decimal point 0.505 as 505 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.505 as a fraction and how it can be found easily.

Summary: 0.505 in fraction form
0.505 can be recognized as 505 thousandths, which can be represented as 505/1000 in fraction form. The simplest form of 505/1000 is 101/200. Therefore, 0.505 as a fraction is 101/200.

Write 0.505 as a fraction in simplest form.
0.505 = (?)
0.505 = 0.505/1
= (0.505/1) x (1000/1000)      //0.505 can be recognized as 505 thousandths.
= 505/1000      //505 thousandths is equal to 505/1000 and it can be simplified further.
= (505/5)/(1000/5)       //5 is the GCF of 505 and 1000. Divide both 505 and 1000 by the GCF 5 to simplify the fraction.
= 101/200
0.505 = 101/200
0.505 in its simplest fraction form is 101/200.

So, what is the fraction of 0.505?
It is 505/1000 in fraction. To simplify 505/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 505 by 5 gives 101, and dividing 1000 by 5 gives 200. Thus, 505/1000 simplifies to 101/200

Refer to the step by step work further to learn how to find what is 0.505 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.505

What to be found:
What is 0.505 as a fraction in simplest form?

step 2 Write 0.505 as a simple fraction.
0.505/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.505/1.
Since the decimal 0.505 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.505/1 to make numerator as a whole number.
(0.505 x 1000)/(1 x 1000) = 505/1000

step 4 505 thousandths is the fraction form of 0.505, however, it can be reduced further. To simplify 505/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 505 and 1000 cancel each other.
505/1000 = (5 x 101)/(5 x 200)
= 101/200
505/1000 = 101/200
Hence,
0.505 as a fraction is 101/200.

Converting decimals like 0.505 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.505 to fraction form. In this case, 0.505 can be recognized as 505 thousandths. So, the fraction form of 0.505 is 505/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 505/1000 in its simplest form.