What is 0.668 as a fraction?
0.668 as a fraction is 668/1000 and its simplest form is 167/250.
Learn how to find what is 0.668 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 0.668 in its equivalent fraction form. It is required to recognize the decimal point 0.668 as 668 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.668 as a fraction and how it can be found easily.
Summary: 0.668 in fraction form
0.668 can be recognized as 668 thousandths, which can be represented as 668/1000 in fraction form. The simplest form of 668/1000 is 167/250. Therefore, 0.668 as a fraction is 167/250.
Write 0.668 as a fraction in simplest form.
0.668 = (?)
0.668 = 0.668/1
= (0.668/1) x (1000/1000) //0.668 can be recognized as 668 thousandths.
= 668/1000 //668 thousandths is equal to 668/1000 and it can be simplified further.
= (668/4)/(1000/4) //4 is the GCF of 668 and 1000. Divide both 668 and 1000 by the GCF 4 to simplify the fraction.
= 167/250
0.668 = 167/250
0.668 in its simplest fraction form is 167/250.
So, what is the fraction of 0.668?
It is 668/1000 in fraction. To simplify 668/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 668 by 4 gives 167,
and dividing 1000 by 4 gives 250. Thus, 668/1000 simplifies to 167/250
Refer to the step by step work further to learn how to find what is 0.668 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.668
What to be found:
What is 0.668 as a fraction in simplest form?
step 2 Write 0.668 as a simple fraction.
0.668/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.668/1.
Since the decimal 0.668 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.668/1 to make numerator as a whole number.
(0.668 x 1000)/(1 x 1000) = 668/1000
step 4
668 thousandths is the fraction form of 0.668, however, it can be reduced further. To simplify 668/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 668 and 1000 cancel each other.
668/1000 = (4 x 167)/(4 x 250)
= 167/250
668/1000 = 167/250
Hence,
0.668 as a fraction is 167/250.
Converting decimals like 0.668 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.668 to fraction form. In this case, 0.668 can be recognized as 668 thousandths. So, the fraction form of 0.668 is 668/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 668/1000 in its simplest form.