What is 21.8 as a fraction?
21.8 as a fraction is 218/10 and its simplest form is 109/5.
Learn how to find what is 21.8 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 21.8 in its equivalent fraction form. It is required to recognize the decimal point 21.8 as 218 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 21.8 as a fraction and how it can be found easily.
Summary: 21.8 in fraction form
21.8 can be recognized as 218 tenths, which can be represented as 218/10 in fraction form. The simplest form of 218/10 is 109/5. Therefore, 21.8 as a fraction is 109/5.
Write 21.8 as a fraction in simplest form.
21.8 = (?)
21.8 = 21.8/1
= (21.8/1) x (10/10) //21.8 can be recognized as 218 tenths.
= 218/10 //218 tenths is equal to 218/10 and it can be simplified further.
= (218/2)/(10/2) //2 is the GCF of 218 and 10. Divide both 218 and 10 by the GCF 2 to simplify the fraction.
= 109/5
21.8 = 109/5
21.8 in its simplest fraction form is 109/5.
So, what is the fraction of 21.8?
It is 218/10 in fraction. To simplify 218/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 218 by 2 gives 109,
and dividing 10 by 2 gives 5. Thus, 218/10 simplifies to 109/5
Refer to the step by step work further to learn how to find what is 21.8 as a fraction in simple form.
step 1
Input values:
The decimal number = 21.8
What to be found:
What is 21.8 as a fraction in simplest form?
step 2 Write 21.8 as a simple fraction.
21.8/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 21.8/1.
Since the decimal 21.8 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 21.8/1 to make numerator as a whole number.
(21.8 x 10)/(1 x 10) = 218/10
step 4
218 tenths is the fraction form of 21.8, however, it can be reduced further. To simplify 218/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 218 and 10 cancel each other.
218/10 = (2 x 109)/(2 x 5)
= 109/5
218/10 = 109/5
Hence,
21.8 as a fraction is 109/5.
Converting decimals like 21.8 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 21.8 to fraction form. In this case, 21.8 can be recognized as 218 tenths. So, the fraction form of 21.8 is 218/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 218/10 in its simplest form.