What is 0.678 as a fraction?
0.678 as a fraction is 678/1000 and its simplest form is 339/500.
Learn how to find what is 0.678 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 0.678 in its equivalent fraction form. It is required to recognize the decimal point 0.678 as 678 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.678 as a fraction and how it can be found easily.
Summary: 0.678 in fraction form
0.678 can be recognized as 678 thousandths, which can be represented as 678/1000 in fraction form. The simplest form of 678/1000 is 339/500. Therefore, 0.678 as a fraction is 339/500.
Write 0.678 as a fraction in simplest form.
0.678 = (?)
0.678 = 0.678/1
= (0.678/1) x (1000/1000) //0.678 can be recognized as 678 thousandths.
= 678/1000 //678 thousandths is equal to 678/1000 and it can be simplified further.
= (678/2)/(1000/2) //2 is the GCF of 678 and 1000. Divide both 678 and 1000 by the GCF 2 to simplify the fraction.
= 339/500
0.678 = 339/500
0.678 in its simplest fraction form is 339/500.
So, what is the fraction of 0.678?
It is 678/1000 in fraction. To simplify 678/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 678 by 2 gives 339,
and dividing 1000 by 2 gives 500. Thus, 678/1000 simplifies to 339/500
Refer to the step by step work further to learn how to find what is 0.678 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.678
What to be found:
What is 0.678 as a fraction in simplest form?
step 2 Write 0.678 as a simple fraction.
0.678/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.678/1.
Since the decimal 0.678 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.678/1 to make numerator as a whole number.
(0.678 x 1000)/(1 x 1000) = 678/1000
step 4
678 thousandths is the fraction form of 0.678, however, it can be reduced further. To simplify 678/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 678 and 1000 cancel each other.
678/1000 = (2 x 339)/(2 x 500)
= 339/500
678/1000 = 339/500
Hence,
0.678 as a fraction is 339/500.
Converting decimals like 0.678 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.678 to fraction form. In this case, 0.678 can be recognized as 678 thousandths. So, the fraction form of 0.678 is 678/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 678/1000 in its simplest form.