0.012 as a Fraction in Simplest Form

Learn how to find what is 0.012 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 0.012 in its equivalent fraction form. It is required to recognize the decimal point 0.012 as 12 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.012 as a fraction and how it can be found easily.

Summary: 0.012 in fraction form
0.012 can be recognized as 12 thousandths, which can be represented as 12/1000 in fraction form. The simplest form of 12/1000 is 3/250. Therefore, 0.012 as a fraction is 3/250.

Write 0.012 as a fraction in simplest form.
0.012 = (?)
0.012 = 0.012/1
= (0.012/1) x (1000/1000)      //0.012 can be recognized as 12 thousandths.
= 12/1000      //12 thousandths is equal to 12/1000 and it can be simplified further.
= (12/4)/(1000/4)       //4 is the GCF of 12 and 1000. Divide both 12 and 1000 by the GCF 4 to simplify the fraction.
= 3/250
0.012 = 3/250
0.012 in its simplest fraction form is 3/250.

So, what is the fraction of 0.012?
It is 12/1000 in fraction. To simplify 12/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 12 by 4 gives 3, and dividing 1000 by 4 gives 250. Thus, 12/1000 simplifies to 3/250

Refer to the step by step work further to learn how to find what is 0.012 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.012

What to be found:
What is 0.012 as a fraction in simplest form?

step 2 Write 0.012 as a simple fraction.
0.012/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.012/1.
Since the decimal 0.012 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.012/1 to make numerator as a whole number.
(0.012 x 1000)/(1 x 1000) = 12/1000

step 4 12 thousandths is the fraction form of 0.012, however, it can be reduced further. To simplify 12/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 12 and 1000 cancel each other.
12/1000 = (4 x 3)/(4 x 250)
= 3/250
12/1000 = 3/250
Hence,
0.012 as a fraction is 3/250.

Converting decimals like 0.012 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.012 to fraction form. In this case, 0.012 can be recognized as 12 thousandths. So, the fraction form of 0.012 is 12/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 12/1000 in its simplest form.