What is 0.326 as a fraction?
0.326 as a fraction is 326/1000 and its simplest form is 163/500.
Learn how to find what is 0.326 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 0.326 in its equivalent fraction form. It is required to recognize the decimal point 0.326 as 326 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.326 as a fraction and how it can be found easily.
Summary: 0.326 in fraction form
0.326 can be recognized as 326 thousandths, which can be represented as 326/1000 in fraction form. The simplest form of 326/1000 is 163/500. Therefore, 0.326 as a fraction is 163/500.
Write 0.326 as a fraction in simplest form.
0.326 = (?)
0.326 = 0.326/1
= (0.326/1) x (1000/1000) //0.326 can be recognized as 326 thousandths.
= 326/1000 //326 thousandths is equal to 326/1000 and it can be simplified further.
= (326/2)/(1000/2) //2 is the GCF of 326 and 1000. Divide both 326 and 1000 by the GCF 2 to simplify the fraction.
= 163/500
0.326 = 163/500
0.326 in its simplest fraction form is 163/500.
So, what is the fraction of 0.326?
It is 326/1000 in fraction. To simplify 326/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 326 by 2 gives 163,
and dividing 1000 by 2 gives 500. Thus, 326/1000 simplifies to 163/500
Refer to the step by step work further to learn how to find what is 0.326 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.326
What to be found:
What is 0.326 as a fraction in simplest form?
step 2 Write 0.326 as a simple fraction.
0.326/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.326/1.
Since the decimal 0.326 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.326/1 to make numerator as a whole number.
(0.326 x 1000)/(1 x 1000) = 326/1000
step 4
326 thousandths is the fraction form of 0.326, however, it can be reduced further. To simplify 326/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 326 and 1000 cancel each other.
326/1000 = (2 x 163)/(2 x 500)
= 163/500
326/1000 = 163/500
Hence,
0.326 as a fraction is 163/500.
Converting decimals like 0.326 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.326 to fraction form. In this case, 0.326 can be recognized as 326 thousandths. So, the fraction form of 0.326 is 326/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 326/1000 in its simplest form.