0.084 as a Fraction in Simplest Form

Learn how to find what is 0.084 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 0.084 in its equivalent fraction form. It is required to recognize the decimal point 0.084 as 84 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.084 as a fraction and how it can be found easily.

Summary: 0.084 in fraction form
0.084 can be recognized as 84 thousandths, which can be represented as 84/1000 in fraction form. The simplest form of 84/1000 is 21/250. Therefore, 0.084 as a fraction is 21/250.

Write 0.084 as a fraction in simplest form.
0.084 = (?)
0.084 = 0.084/1
= (0.084/1) x (1000/1000)      //0.084 can be recognized as 84 thousandths.
= 84/1000      //84 thousandths is equal to 84/1000 and it can be simplified further.
= (84/4)/(1000/4)       //4 is the GCF of 84 and 1000. Divide both 84 and 1000 by the GCF 4 to simplify the fraction.
= 21/250
0.084 = 21/250
0.084 in its simplest fraction form is 21/250.

So, what is the fraction of 0.084?
It is 84/1000 in fraction. To simplify 84/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 84 by 4 gives 21, and dividing 1000 by 4 gives 250. Thus, 84/1000 simplifies to 21/250

Refer to the step by step work further to learn how to find what is 0.084 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.084

What to be found:
What is 0.084 as a fraction in simplest form?

step 2 Write 0.084 as a simple fraction.
0.084/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.084/1.
Since the decimal 0.084 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.084/1 to make numerator as a whole number.
(0.084 x 1000)/(1 x 1000) = 84/1000

step 4 84 thousandths is the fraction form of 0.084, however, it can be reduced further. To simplify 84/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 84 and 1000 cancel each other.
84/1000 = (4 x 21)/(4 x 250)
= 21/250
84/1000 = 21/250
Hence,
0.084 as a fraction is 21/250.

Converting decimals like 0.084 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.084 to fraction form. In this case, 0.084 can be recognized as 84 thousandths. So, the fraction form of 0.084 is 84/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 84/1000 in its simplest form.