What is 0.686 as a fraction?
0.686 as a fraction is 686/1000 and its simplest form is 343/500.
Learn how to find what is 0.686 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 0.686 in its equivalent fraction form. It is required to recognize the decimal point 0.686 as 686 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.686 as a fraction and how it can be found easily.
Summary: 0.686 in fraction form
0.686 can be recognized as 686 thousandths, which can be represented as 686/1000 in fraction form. The simplest form of 686/1000 is 343/500. Therefore, 0.686 as a fraction is 343/500.
Write 0.686 as a fraction in simplest form.
0.686 = (?)
0.686 = 0.686/1
= (0.686/1) x (1000/1000) //0.686 can be recognized as 686 thousandths.
= 686/1000 //686 thousandths is equal to 686/1000 and it can be simplified further.
= (686/2)/(1000/2) //2 is the GCF of 686 and 1000. Divide both 686 and 1000 by the GCF 2 to simplify the fraction.
= 343/500
0.686 = 343/500
0.686 in its simplest fraction form is 343/500.
So, what is the fraction of 0.686?
It is 686/1000 in fraction. To simplify 686/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 686 by 2 gives 343,
and dividing 1000 by 2 gives 500. Thus, 686/1000 simplifies to 343/500
Refer to the step by step work further to learn how to find what is 0.686 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.686
What to be found:
What is 0.686 as a fraction in simplest form?
step 2 Write 0.686 as a simple fraction.
0.686/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.686/1.
Since the decimal 0.686 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.686/1 to make numerator as a whole number.
(0.686 x 1000)/(1 x 1000) = 686/1000
step 4
686 thousandths is the fraction form of 0.686, however, it can be reduced further. To simplify 686/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 686 and 1000 cancel each other.
686/1000 = (2 x 343)/(2 x 500)
= 343/500
686/1000 = 343/500
Hence,
0.686 as a fraction is 343/500.
Converting decimals like 0.686 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.686 to fraction form. In this case, 0.686 can be recognized as 686 thousandths. So, the fraction form of 0.686 is 686/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 686/1000 in its simplest form.