What is 0.682 as a fraction?
0.682 as a fraction is 682/1000 and its simplest form is 341/500.
Learn how to find what is 0.682 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 0.682 in its equivalent fraction form. It is required to recognize the decimal point 0.682 as 682 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.682 as a fraction and how it can be found easily.
Summary: 0.682 in fraction form
0.682 can be recognized as 682 thousandths, which can be represented as 682/1000 in fraction form. The simplest form of 682/1000 is 341/500. Therefore, 0.682 as a fraction is 341/500.
Write 0.682 as a fraction in simplest form.
0.682 = (?)
0.682 = 0.682/1
= (0.682/1) x (1000/1000) //0.682 can be recognized as 682 thousandths.
= 682/1000 //682 thousandths is equal to 682/1000 and it can be simplified further.
= (682/2)/(1000/2) //2 is the GCF of 682 and 1000. Divide both 682 and 1000 by the GCF 2 to simplify the fraction.
= 341/500
0.682 = 341/500
0.682 in its simplest fraction form is 341/500.
So, what is the fraction of 0.682?
It is 682/1000 in fraction. To simplify 682/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 682 by 2 gives 341,
and dividing 1000 by 2 gives 500. Thus, 682/1000 simplifies to 341/500
Refer to the step by step work further to learn how to find what is 0.682 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.682
What to be found:
What is 0.682 as a fraction in simplest form?
step 2 Write 0.682 as a simple fraction.
0.682/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.682/1.
Since the decimal 0.682 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.682/1 to make numerator as a whole number.
(0.682 x 1000)/(1 x 1000) = 682/1000
step 4
682 thousandths is the fraction form of 0.682, however, it can be reduced further. To simplify 682/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 682 and 1000 cancel each other.
682/1000 = (2 x 341)/(2 x 500)
= 341/500
682/1000 = 341/500
Hence,
0.682 as a fraction is 341/500.
Converting decimals like 0.682 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.682 to fraction form. In this case, 0.682 can be recognized as 682 thousandths. So, the fraction form of 0.682 is 682/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 682/1000 in its simplest form.