What is 0.854 as a fraction?
0.854 as a fraction is 854/1000 and its simplest form is 427/500.
Learn how to find what is 0.854 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 0.854 in its equivalent fraction form. It is required to recognize the decimal point 0.854 as 854 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.854 as a fraction and how it can be found easily.
Summary: 0.854 in fraction form
0.854 can be recognized as 854 thousandths, which can be represented as 854/1000 in fraction form. The simplest form of 854/1000 is 427/500. Therefore, 0.854 as a fraction is 427/500.
Write 0.854 as a fraction in simplest form.
0.854 = (?)
0.854 = 0.854/1
= (0.854/1) x (1000/1000) //0.854 can be recognized as 854 thousandths.
= 854/1000 //854 thousandths is equal to 854/1000 and it can be simplified further.
= (854/2)/(1000/2) //2 is the GCF of 854 and 1000. Divide both 854 and 1000 by the GCF 2 to simplify the fraction.
= 427/500
0.854 = 427/500
0.854 in its simplest fraction form is 427/500.
So, what is the fraction of 0.854?
It is 854/1000 in fraction. To simplify 854/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 854 by 2 gives 427,
and dividing 1000 by 2 gives 500. Thus, 854/1000 simplifies to 427/500
Refer to the step by step work further to learn how to find what is 0.854 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.854
What to be found:
What is 0.854 as a fraction in simplest form?
step 2 Write 0.854 as a simple fraction.
0.854/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.854/1.
Since the decimal 0.854 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.854/1 to make numerator as a whole number.
(0.854 x 1000)/(1 x 1000) = 854/1000
step 4
854 thousandths is the fraction form of 0.854, however, it can be reduced further. To simplify 854/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 854 and 1000 cancel each other.
854/1000 = (2 x 427)/(2 x 500)
= 427/500
854/1000 = 427/500
Hence,
0.854 as a fraction is 427/500.
Converting decimals like 0.854 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.854 to fraction form. In this case, 0.854 can be recognized as 854 thousandths. So, the fraction form of 0.854 is 854/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 854/1000 in its simplest form.