What is 0.985 as a fraction?
0.985 as a fraction is 985/1000 and its simplest form is 197/200.
Learn how to find what is 0.985 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 0.985 in its equivalent fraction form. It is required to recognize the decimal point 0.985 as 985 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.985 as a fraction and how it can be found easily.
Summary: 0.985 in fraction form
0.985 can be recognized as 985 thousandths, which can be represented as 985/1000 in fraction form. The simplest form of 985/1000 is 197/200. Therefore, 0.985 as a fraction is 197/200.
Write 0.985 as a fraction in simplest form.
0.985 = (?)
0.985 = 0.985/1
= (0.985/1) x (1000/1000) //0.985 can be recognized as 985 thousandths.
= 985/1000 //985 thousandths is equal to 985/1000 and it can be simplified further.
= (985/5)/(1000/5) //5 is the GCF of 985 and 1000. Divide both 985 and 1000 by the GCF 5 to simplify the fraction.
= 197/200
0.985 = 197/200
0.985 in its simplest fraction form is 197/200.
So, what is the fraction of 0.985?
It is 985/1000 in fraction. To simplify 985/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 985 by 5 gives 197,
and dividing 1000 by 5 gives 200. Thus, 985/1000 simplifies to 197/200
Refer to the step by step work further to learn how to find what is 0.985 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.985
What to be found:
What is 0.985 as a fraction in simplest form?
step 2 Write 0.985 as a simple fraction.
0.985/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.985/1.
Since the decimal 0.985 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.985/1 to make numerator as a whole number.
(0.985 x 1000)/(1 x 1000) = 985/1000
step 4
985 thousandths is the fraction form of 0.985, however, it can be reduced further. To simplify 985/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 985 and 1000 cancel each other.
985/1000 = (5 x 197)/(5 x 200)
= 197/200
985/1000 = 197/200
Hence,
0.985 as a fraction is 197/200.
Converting decimals like 0.985 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.985 to fraction form. In this case, 0.985 can be recognized as 985 thousandths. So, the fraction form of 0.985 is 985/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 985/1000 in its simplest form.