What is 0.328 as a fraction?
0.328 as a fraction is 328/1000 and its simplest form is 41/125.
Learn how to find what is 0.328 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 0.328 in its equivalent fraction form. It is required to recognize the decimal point 0.328 as 328 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.328 as a fraction and how it can be found easily.
Summary: 0.328 in fraction form
0.328 can be recognized as 328 thousandths, which can be represented as 328/1000 in fraction form. The simplest form of 328/1000 is 41/125. Therefore, 0.328 as a fraction is 41/125.
Write 0.328 as a fraction in simplest form.
0.328 = (?)
0.328 = 0.328/1
= (0.328/1) x (1000/1000) //0.328 can be recognized as 328 thousandths.
= 328/1000 //328 thousandths is equal to 328/1000 and it can be simplified further.
= (328/8)/(1000/8) //8 is the GCF of 328 and 1000. Divide both 328 and 1000 by the GCF 8 to simplify the fraction.
= 41/125
0.328 = 41/125
0.328 in its simplest fraction form is 41/125.
So, what is the fraction of 0.328?
It is 328/1000 in fraction. To simplify 328/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 328 by 8 gives 41,
and dividing 1000 by 8 gives 125. Thus, 328/1000 simplifies to 41/125
Refer to the step by step work further to learn how to find what is 0.328 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.328
What to be found:
What is 0.328 as a fraction in simplest form?
step 2 Write 0.328 as a simple fraction.
0.328/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.328/1.
Since the decimal 0.328 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.328/1 to make numerator as a whole number.
(0.328 x 1000)/(1 x 1000) = 328/1000
step 4
328 thousandths is the fraction form of 0.328, however, it can be reduced further. To simplify 328/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 328 and 1000 cancel each other.
328/1000 = (8 x 41)/(8 x 125)
= 41/125
328/1000 = 41/125
Hence,
0.328 as a fraction is 41/125.
Converting decimals like 0.328 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.328 to fraction form. In this case, 0.328 can be recognized as 328 thousandths. So, the fraction form of 0.328 is 328/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 328/1000 in its simplest form.