What is 0.324 as a fraction?
0.324 as a fraction is 324/1000 and its simplest form is 81/250.
Learn how to find what is 0.324 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 0.324 in its equivalent fraction form. It is required to recognize the decimal point 0.324 as 324 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.324 as a fraction and how it can be found easily.
Summary: 0.324 in fraction form
0.324 can be recognized as 324 thousandths, which can be represented as 324/1000 in fraction form. The simplest form of 324/1000 is 81/250. Therefore, 0.324 as a fraction is 81/250.
Write 0.324 as a fraction in simplest form.
0.324 = (?)
0.324 = 0.324/1
= (0.324/1) x (1000/1000) //0.324 can be recognized as 324 thousandths.
= 324/1000 //324 thousandths is equal to 324/1000 and it can be simplified further.
= (324/4)/(1000/4) //4 is the GCF of 324 and 1000. Divide both 324 and 1000 by the GCF 4 to simplify the fraction.
= 81/250
0.324 = 81/250
0.324 in its simplest fraction form is 81/250.
So, what is the fraction of 0.324?
It is 324/1000 in fraction. To simplify 324/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 324 by 4 gives 81,
and dividing 1000 by 4 gives 250. Thus, 324/1000 simplifies to 81/250
Refer to the step by step work further to learn how to find what is 0.324 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.324
What to be found:
What is 0.324 as a fraction in simplest form?
step 2 Write 0.324 as a simple fraction.
0.324/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.324/1.
Since the decimal 0.324 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.324/1 to make numerator as a whole number.
(0.324 x 1000)/(1 x 1000) = 324/1000
step 4
324 thousandths is the fraction form of 0.324, however, it can be reduced further. To simplify 324/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 324 and 1000 cancel each other.
324/1000 = (4 x 81)/(4 x 250)
= 81/250
324/1000 = 81/250
Hence,
0.324 as a fraction is 81/250.
Converting decimals like 0.324 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.324 to fraction form. In this case, 0.324 can be recognized as 324 thousandths. So, the fraction form of 0.324 is 324/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 324/1000 in its simplest form.