What is 0.214 as a fraction?
0.214 as a fraction is 214/1000 and its simplest form is 107/500.
Learn how to find what is 0.214 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 0.214 in its equivalent fraction form. It is required to recognize the decimal point 0.214 as 214 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.214 as a fraction and how it can be found easily.
Summary: 0.214 in fraction form
0.214 can be recognized as 214 thousandths, which can be represented as 214/1000 in fraction form. The simplest form of 214/1000 is 107/500. Therefore, 0.214 as a fraction is 107/500.
Write 0.214 as a fraction in simplest form.
0.214 = (?)
0.214 = 0.214/1
= (0.214/1) x (1000/1000) //0.214 can be recognized as 214 thousandths.
= 214/1000 //214 thousandths is equal to 214/1000 and it can be simplified further.
= (214/2)/(1000/2) //2 is the GCF of 214 and 1000. Divide both 214 and 1000 by the GCF 2 to simplify the fraction.
= 107/500
0.214 = 107/500
0.214 in its simplest fraction form is 107/500.
So, what is the fraction of 0.214?
It is 214/1000 in fraction. To simplify 214/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 214 by 2 gives 107,
and dividing 1000 by 2 gives 500. Thus, 214/1000 simplifies to 107/500
Refer to the step by step work further to learn how to find what is 0.214 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.214
What to be found:
What is 0.214 as a fraction in simplest form?
step 2 Write 0.214 as a simple fraction.
0.214/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.214/1.
Since the decimal 0.214 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.214/1 to make numerator as a whole number.
(0.214 x 1000)/(1 x 1000) = 214/1000
step 4
214 thousandths is the fraction form of 0.214, however, it can be reduced further. To simplify 214/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 214 and 1000 cancel each other.
214/1000 = (2 x 107)/(2 x 500)
= 107/500
214/1000 = 107/500
Hence,
0.214 as a fraction is 107/500.
Converting decimals like 0.214 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.214 to fraction form. In this case, 0.214 can be recognized as 214 thousandths. So, the fraction form of 0.214 is 214/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 214/1000 in its simplest form.