What is 0.325 as a fraction?
0.325 as a fraction is 325/1000 and its simplest form is 13/40.
Learn how to find what is 0.325 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 0.325 in its equivalent fraction form. It is required to recognize the decimal point 0.325 as 325 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.325 as a fraction and how it can be found easily.
Summary: 0.325 in fraction form
0.325 can be recognized as 325 thousandths, which can be represented as 325/1000 in fraction form. The simplest form of 325/1000 is 13/40. Therefore, 0.325 as a fraction is 13/40.
Write 0.325 as a fraction in simplest form.
0.325 = (?)
0.325 = 0.325/1
= (0.325/1) x (1000/1000) //0.325 can be recognized as 325 thousandths.
= 325/1000 //325 thousandths is equal to 325/1000 and it can be simplified further.
= (325/25)/(1000/25) //25 is the GCF of 325 and 1000. Divide both 325 and 1000 by the GCF 25 to simplify the fraction.
= 13/40
0.325 = 13/40
0.325 in its simplest fraction form is 13/40.
So, what is the fraction of 0.325?
It is 325/1000 in fraction. To simplify 325/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 25 in this case. Dividing 325 by 25 gives 13,
and dividing 1000 by 25 gives 40. Thus, 325/1000 simplifies to 13/40
Refer to the step by step work further to learn how to find what is 0.325 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.325
What to be found:
What is 0.325 as a fraction in simplest form?
step 2 Write 0.325 as a simple fraction.
0.325/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.325/1.
Since the decimal 0.325 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.325/1 to make numerator as a whole number.
(0.325 x 1000)/(1 x 1000) = 325/1000
step 4
325 thousandths is the fraction form of 0.325, however, it can be reduced further. To simplify 325/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 325 and 1000 cancel each other.
325/1000 = (25 x 13)/(25 x 40)
= 13/40
325/1000 = 13/40
Hence,
0.325 as a fraction is 13/40.
Converting decimals like 0.325 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.325 to fraction form. In this case, 0.325 can be recognized as 325 thousandths. So, the fraction form of 0.325 is 325/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 325/1000 in its simplest form.