What is 0.808 as a fraction?
0.808 as a fraction is 808/1000 and its simplest form is 101/125.
Learn how to find what is 0.808 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 0.808 in its equivalent fraction form. It is required to recognize the decimal point 0.808 as 808 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.808 as a fraction and how it can be found easily.
Summary: 0.808 in fraction form
0.808 can be recognized as 808 thousandths, which can be represented as 808/1000 in fraction form. The simplest form of 808/1000 is 101/125. Therefore, 0.808 as a fraction is 101/125.
Write 0.808 as a fraction in simplest form.
0.808 = (?)
0.808 = 0.808/1
= (0.808/1) x (1000/1000) //0.808 can be recognized as 808 thousandths.
= 808/1000 //808 thousandths is equal to 808/1000 and it can be simplified further.
= (808/8)/(1000/8) //8 is the GCF of 808 and 1000. Divide both 808 and 1000 by the GCF 8 to simplify the fraction.
= 101/125
0.808 = 101/125
0.808 in its simplest fraction form is 101/125.
So, what is the fraction of 0.808?
It is 808/1000 in fraction. To simplify 808/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 808 by 8 gives 101,
and dividing 1000 by 8 gives 125. Thus, 808/1000 simplifies to 101/125
Refer to the step by step work further to learn how to find what is 0.808 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.808
What to be found:
What is 0.808 as a fraction in simplest form?
step 2 Write 0.808 as a simple fraction.
0.808/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.808/1.
Since the decimal 0.808 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.808/1 to make numerator as a whole number.
(0.808 x 1000)/(1 x 1000) = 808/1000
step 4
808 thousandths is the fraction form of 0.808, however, it can be reduced further. To simplify 808/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 808 and 1000 cancel each other.
808/1000 = (8 x 101)/(8 x 125)
= 101/125
808/1000 = 101/125
Hence,
0.808 as a fraction is 101/125.
Converting decimals like 0.808 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.808 to fraction form. In this case, 0.808 can be recognized as 808 thousandths. So, the fraction form of 0.808 is 808/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 808/1000 in its simplest form.