What is 0.509 as a fraction?
0.509 as a fraction is 509/1000 and its simplest form is 509/1000.
Learn how to find what is 0.509 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 0.509 in its equivalent fraction form. It is required to recognize the decimal point 0.509 as 509 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.509 as a fraction and how it can be found easily.
Summary: 0.509 in fraction form
0.509 can be recognized as 509 thousandths, which can be represented as 509/1000 in its simplest fraction form. 509/1000 can't be simplified further, since the GCF of 509 and 1000 is 1.
Write 0.509 as a fraction in simplest form.
0.509 = (?)
0.509 = 0.509/1
= (0.509/1) x (1000/1000) //0.509 can be recognized as 509 thousandths.
= 509/1000 //The GCF of 509 and 1000 is 1, so it can't be simplified further.
0.509 = 509/1000
0.509 in its simplest fraction form is 509/1000.
Refer to the step by step work further to learn how to find what is 0.509 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.509
What to be found:
What is 0.509 as a fraction in simplest form?
step 2 Write 0.509 as a simple fraction.
0.509/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.509/1.
Since the decimal 0.509 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.509/1 to make numerator as a whole number.
(0.509 x 1000)/(1 x 1000) = 509/1000
step 4
509 thousandths is the fraction form of 0.509, however, it can't be simplified furtherbecause the multiplication factors of numerator 509 and denominator 1000 of the given fraction are not cancelling each other.
Hence,
0.509 as a fraction is 509/1000.
Converting decimals like 0.509 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.509 to fraction form. In this case, 0.509 can be recognized as 509 thousandths. So, the fraction form of 0.509 is 509/1000.