What is 0.3636 as a fraction?
0.3636 as a fraction is 3636/10000 and its simplest form is 909/2500.
Learn how to find what is 0.3636 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 0.3636 in its equivalent fraction form. It is required to recognize the decimal point 0.3636 as 3636 ten-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.3636 as a fraction and how it can be found easily.
Summary: 0.3636 in fraction form
0.3636 can be recognized as 3636 ten-thousandths, which can be represented as 3636/10000 in fraction form. The simplest form of 3636/10000 is 909/2500. Therefore, 0.3636 as a fraction is 909/2500.
Write 0.3636 as a fraction in simplest form.
0.3636 = (?)
0.3636 = 0.3636/1
= (0.3636/1) x (10000/10000) //0.3636 can be recognized as 3636 ten-thousandths.
= 3636/10000 //3636 ten-thousandths is equal to 3636/10000 and it can be simplified further.
= (3636/4)/(10000/4) //4 is the GCF of 3636 and 10000. Divide both 3636 and 10000 by the GCF 4 to simplify the fraction.
= 909/2500
0.3636 = 909/2500
0.3636 in its simplest fraction form is 909/2500.
So, what is the fraction of 0.3636?
It is 3636/10000 in fraction. To simplify 3636/10000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 3636 by 4 gives 909,
and dividing 10000 by 4 gives 2500. Thus, 3636/10000 simplifies to 909/2500
Refer to the step by step work further to learn how to find what is 0.3636 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.3636
What to be found:
What is 0.3636 as a fraction in simplest form?
step 2 Write 0.3636 as a simple fraction.
0.3636/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.3636/1.
Since the decimal 0.3636 has 4 digits after the decimal point, multiply 10000 with both numerator and denominator of 0.3636/1 to make numerator as a whole number.
(0.3636 x 10000)/(1 x 10000) = 3636/10000
step 4
3636 ten-thousandths is the fraction form of 0.3636, however, it can be reduced further. To simplify 3636/10000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 3636 and 10000 cancel each other.
3636/10000 = (4 x 909)/(4 x 2500)
= 909/2500
3636/10000 = 909/2500
Hence,
0.3636 as a fraction is 909/2500.
Converting decimals like 0.3636 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.3636 to fraction form. In this case, 0.3636 can be recognized as 3636 ten-thousandths. So, the fraction form of 0.3636 is 3636/10000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 3636/10000 in its simplest form.