What is 0.108 as a fraction?
0.108 as a fraction is 108/1000 and its simplest form is 27/250.
Learn how to find what is 0.108 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 0.108 in its equivalent fraction form. It is required to recognize the decimal point 0.108 as 108 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.108 as a fraction and how it can be found easily.
Summary: 0.108 in fraction form
0.108 can be recognized as 108 thousandths, which can be represented as 108/1000 in fraction form. The simplest form of 108/1000 is 27/250. Therefore, 0.108 as a fraction is 27/250.
Write 0.108 as a fraction in simplest form.
0.108 = (?)
0.108 = 0.108/1
= (0.108/1) x (1000/1000) //0.108 can be recognized as 108 thousandths.
= 108/1000 //108 thousandths is equal to 108/1000 and it can be simplified further.
= (108/4)/(1000/4) //4 is the GCF of 108 and 1000. Divide both 108 and 1000 by the GCF 4 to simplify the fraction.
= 27/250
0.108 = 27/250
0.108 in its simplest fraction form is 27/250.
So, what is the fraction of 0.108?
It is 108/1000 in fraction. To simplify 108/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 108 by 4 gives 27,
and dividing 1000 by 4 gives 250. Thus, 108/1000 simplifies to 27/250
Refer to the step by step work further to learn how to find what is 0.108 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.108
What to be found:
What is 0.108 as a fraction in simplest form?
step 2 Write 0.108 as a simple fraction.
0.108/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.108/1.
Since the decimal 0.108 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.108/1 to make numerator as a whole number.
(0.108 x 1000)/(1 x 1000) = 108/1000
step 4
108 thousandths is the fraction form of 0.108, however, it can be reduced further. To simplify 108/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 108 and 1000 cancel each other.
108/1000 = (4 x 27)/(4 x 250)
= 27/250
108/1000 = 27/250
Hence,
0.108 as a fraction is 27/250.
Converting decimals like 0.108 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.108 to fraction form. In this case, 0.108 can be recognized as 108 thousandths. So, the fraction form of 0.108 is 108/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 108/1000 in its simplest form.