What is 0.855 as a fraction?
0.855 as a fraction is 855/1000 and its simplest form is 171/200.
Learn how to find what is 0.855 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 0.855 in its equivalent fraction form. It is required to recognize the decimal point 0.855 as 855 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.855 as a fraction and how it can be found easily.
Summary: 0.855 in fraction form
0.855 can be recognized as 855 thousandths, which can be represented as 855/1000 in fraction form. The simplest form of 855/1000 is 171/200. Therefore, 0.855 as a fraction is 171/200.
Write 0.855 as a fraction in simplest form.
0.855 = (?)
0.855 = 0.855/1
= (0.855/1) x (1000/1000) //0.855 can be recognized as 855 thousandths.
= 855/1000 //855 thousandths is equal to 855/1000 and it can be simplified further.
= (855/5)/(1000/5) //5 is the GCF of 855 and 1000. Divide both 855 and 1000 by the GCF 5 to simplify the fraction.
= 171/200
0.855 = 171/200
0.855 in its simplest fraction form is 171/200.
So, what is the fraction of 0.855?
It is 855/1000 in fraction. To simplify 855/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 855 by 5 gives 171,
and dividing 1000 by 5 gives 200. Thus, 855/1000 simplifies to 171/200
Refer to the step by step work further to learn how to find what is 0.855 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.855
What to be found:
What is 0.855 as a fraction in simplest form?
step 2 Write 0.855 as a simple fraction.
0.855/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.855/1.
Since the decimal 0.855 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.855/1 to make numerator as a whole number.
(0.855 x 1000)/(1 x 1000) = 855/1000
step 4
855 thousandths is the fraction form of 0.855, however, it can be reduced further. To simplify 855/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 855 and 1000 cancel each other.
855/1000 = (5 x 171)/(5 x 200)
= 171/200
855/1000 = 171/200
Hence,
0.855 as a fraction is 171/200.
Converting decimals like 0.855 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.855 to fraction form. In this case, 0.855 can be recognized as 855 thousandths. So, the fraction form of 0.855 is 855/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 855/1000 in its simplest form.