What is 0.216 as a fraction?
0.216 as a fraction is 216/1000 and its simplest form is 27/125.
Learn how to find what is 0.216 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 0.216 in its equivalent fraction form. It is required to recognize the decimal point 0.216 as 216 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.216 as a fraction and how it can be found easily.
Summary: 0.216 in fraction form
0.216 can be recognized as 216 thousandths, which can be represented as 216/1000 in fraction form. The simplest form of 216/1000 is 27/125. Therefore, 0.216 as a fraction is 27/125.
Write 0.216 as a fraction in simplest form.
0.216 = (?)
0.216 = 0.216/1
= (0.216/1) x (1000/1000) //0.216 can be recognized as 216 thousandths.
= 216/1000 //216 thousandths is equal to 216/1000 and it can be simplified further.
= (216/8)/(1000/8) //8 is the GCF of 216 and 1000. Divide both 216 and 1000 by the GCF 8 to simplify the fraction.
= 27/125
0.216 = 27/125
0.216 in its simplest fraction form is 27/125.
So, what is the fraction of 0.216?
It is 216/1000 in fraction. To simplify 216/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 216 by 8 gives 27,
and dividing 1000 by 8 gives 125. Thus, 216/1000 simplifies to 27/125
Refer to the step by step work further to learn how to find what is 0.216 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.216
What to be found:
What is 0.216 as a fraction in simplest form?
step 2 Write 0.216 as a simple fraction.
0.216/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.216/1.
Since the decimal 0.216 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.216/1 to make numerator as a whole number.
(0.216 x 1000)/(1 x 1000) = 216/1000
step 4
216 thousandths is the fraction form of 0.216, however, it can be reduced further. To simplify 216/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 216 and 1000 cancel each other.
216/1000 = (8 x 27)/(8 x 125)
= 27/125
216/1000 = 27/125
Hence,
0.216 as a fraction is 27/125.
Converting decimals like 0.216 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.216 to fraction form. In this case, 0.216 can be recognized as 216 thousandths. So, the fraction form of 0.216 is 216/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 216/1000 in its simplest form.