What is 0.684 as a fraction?
0.684 as a fraction is 684/1000 and its simplest form is 171/250.
Learn how to find what is 0.684 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 0.684 in its equivalent fraction form. It is required to recognize the decimal point 0.684 as 684 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.684 as a fraction and how it can be found easily.
Summary: 0.684 in fraction form
0.684 can be recognized as 684 thousandths, which can be represented as 684/1000 in fraction form. The simplest form of 684/1000 is 171/250. Therefore, 0.684 as a fraction is 171/250.
Write 0.684 as a fraction in simplest form.
0.684 = (?)
0.684 = 0.684/1
= (0.684/1) x (1000/1000) //0.684 can be recognized as 684 thousandths.
= 684/1000 //684 thousandths is equal to 684/1000 and it can be simplified further.
= (684/4)/(1000/4) //4 is the GCF of 684 and 1000. Divide both 684 and 1000 by the GCF 4 to simplify the fraction.
= 171/250
0.684 = 171/250
0.684 in its simplest fraction form is 171/250.
So, what is the fraction of 0.684?
It is 684/1000 in fraction. To simplify 684/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 684 by 4 gives 171,
and dividing 1000 by 4 gives 250. Thus, 684/1000 simplifies to 171/250
Refer to the step by step work further to learn how to find what is 0.684 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.684
What to be found:
What is 0.684 as a fraction in simplest form?
step 2 Write 0.684 as a simple fraction.
0.684/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.684/1.
Since the decimal 0.684 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.684/1 to make numerator as a whole number.
(0.684 x 1000)/(1 x 1000) = 684/1000
step 4
684 thousandths is the fraction form of 0.684, however, it can be reduced further. To simplify 684/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 684 and 1000 cancel each other.
684/1000 = (4 x 171)/(4 x 250)
= 171/250
684/1000 = 171/250
Hence,
0.684 as a fraction is 171/250.
Converting decimals like 0.684 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.684 to fraction form. In this case, 0.684 can be recognized as 684 thousandths. So, the fraction form of 0.684 is 684/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 684/1000 in its simplest form.