What is 21.5 as a fraction?
21.5 as a fraction is 215/10 and its simplest form is 43/2.
Learn how to find what is 21.5 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 21.5 in its equivalent fraction form. It is required to recognize the decimal point 21.5 as 215 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 21.5 as a fraction and how it can be found easily.
Summary: 21.5 in fraction form
21.5 can be recognized as 215 tenths, which can be represented as 215/10 in fraction form. The simplest form of 215/10 is 43/2. Therefore, 21.5 as a fraction is 43/2.
Write 21.5 as a fraction in simplest form.
21.5 = (?)
21.5 = 21.5/1
= (21.5/1) x (10/10) //21.5 can be recognized as 215 tenths.
= 215/10 //215 tenths is equal to 215/10 and it can be simplified further.
= (215/5)/(10/5) //5 is the GCF of 215 and 10. Divide both 215 and 10 by the GCF 5 to simplify the fraction.
= 43/2
21.5 = 43/2
21.5 in its simplest fraction form is 43/2.
So, what is the fraction of 21.5?
It is 215/10 in fraction. To simplify 215/10, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 215 by 5 gives 43,
and dividing 10 by 5 gives 2. Thus, 215/10 simplifies to 43/2
Refer to the step by step work further to learn how to find what is 21.5 as a fraction in simple form.
step 1
Input values:
The decimal number = 21.5
What to be found:
What is 21.5 as a fraction in simplest form?
step 2 Write 21.5 as a simple fraction.
21.5/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 21.5/1.
Since the decimal 21.5 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 21.5/1 to make numerator as a whole number.
(21.5 x 10)/(1 x 10) = 215/10
step 4
215 tenths is the fraction form of 21.5, however, it can be reduced further. To simplify 215/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 215 and 10 cancel each other.
215/10 = (5 x 43)/(5 x 2)
= 43/2
215/10 = 43/2
Hence,
21.5 as a fraction is 43/2.
Converting decimals like 21.5 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 21.5 to fraction form. In this case, 21.5 can be recognized as 215 tenths. So, the fraction form of 21.5 is 215/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 215/10 in its simplest form.