0.085 as a Fraction in Simplest Form

Learn how to find what is 0.085 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 0.085 in its equivalent fraction form. It is required to recognize the decimal point 0.085 as 85 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.085 as a fraction and how it can be found easily.

Summary: 0.085 in fraction form
0.085 can be recognized as 85 thousandths, which can be represented as 85/1000 in fraction form. The simplest form of 85/1000 is 17/200. Therefore, 0.085 as a fraction is 17/200.

Write 0.085 as a fraction in simplest form.
0.085 = (?)
0.085 = 0.085/1
= (0.085/1) x (1000/1000)      //0.085 can be recognized as 85 thousandths.
= 85/1000      //85 thousandths is equal to 85/1000 and it can be simplified further.
= (85/5)/(1000/5)       //5 is the GCF of 85 and 1000. Divide both 85 and 1000 by the GCF 5 to simplify the fraction.
= 17/200
0.085 = 17/200
0.085 in its simplest fraction form is 17/200.

So, what is the fraction of 0.085?
It is 85/1000 in fraction. To simplify 85/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 85 by 5 gives 17, and dividing 1000 by 5 gives 200. Thus, 85/1000 simplifies to 17/200

Refer to the step by step work further to learn how to find what is 0.085 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.085

What to be found:
What is 0.085 as a fraction in simplest form?

step 2 Write 0.085 as a simple fraction.
0.085/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.085/1.
Since the decimal 0.085 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.085/1 to make numerator as a whole number.
(0.085 x 1000)/(1 x 1000) = 85/1000

step 4 85 thousandths is the fraction form of 0.085, however, it can be reduced further. To simplify 85/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 85 and 1000 cancel each other.
85/1000 = (5 x 17)/(5 x 200)
= 17/200
85/1000 = 17/200
Hence,
0.085 as a fraction is 17/200.

Converting decimals like 0.085 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.085 to fraction form. In this case, 0.085 can be recognized as 85 thousandths. So, the fraction form of 0.085 is 85/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 85/1000 in its simplest form.