What is 0.212 as a fraction?
0.212 as a fraction is 212/1000 and its simplest form is 53/250.
Learn how to find what is 0.212 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 0.212 in its equivalent fraction form. It is required to recognize the decimal point 0.212 as 212 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.212 as a fraction and how it can be found easily.
Summary: 0.212 in fraction form
0.212 can be recognized as 212 thousandths, which can be represented as 212/1000 in fraction form. The simplest form of 212/1000 is 53/250. Therefore, 0.212 as a fraction is 53/250.
Write 0.212 as a fraction in simplest form.
0.212 = (?)
0.212 = 0.212/1
= (0.212/1) x (1000/1000) //0.212 can be recognized as 212 thousandths.
= 212/1000 //212 thousandths is equal to 212/1000 and it can be simplified further.
= (212/4)/(1000/4) //4 is the GCF of 212 and 1000. Divide both 212 and 1000 by the GCF 4 to simplify the fraction.
= 53/250
0.212 = 53/250
0.212 in its simplest fraction form is 53/250.
So, what is the fraction of 0.212?
It is 212/1000 in fraction. To simplify 212/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 212 by 4 gives 53,
and dividing 1000 by 4 gives 250. Thus, 212/1000 simplifies to 53/250
Refer to the step by step work further to learn how to find what is 0.212 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.212
What to be found:
What is 0.212 as a fraction in simplest form?
step 2 Write 0.212 as a simple fraction.
0.212/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.212/1.
Since the decimal 0.212 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.212/1 to make numerator as a whole number.
(0.212 x 1000)/(1 x 1000) = 212/1000
step 4
212 thousandths is the fraction form of 0.212, however, it can be reduced further. To simplify 212/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 212 and 1000 cancel each other.
212/1000 = (4 x 53)/(4 x 250)
= 53/250
212/1000 = 53/250
Hence,
0.212 as a fraction is 53/250.
Converting decimals like 0.212 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.212 to fraction form. In this case, 0.212 can be recognized as 212 thousandths. So, the fraction form of 0.212 is 212/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 212/1000 in its simplest form.