What is 16.5 as a fraction?
16.5 as a fraction is 165/10 and its simplest form is 33/2.
Learn how to find what is 16.5 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 16.5 in its equivalent fraction form. It is required to recognize the decimal point 16.5 as 165 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 16.5 as a fraction and how it can be found easily.
Summary: 16.5 in fraction form
16.5 can be recognized as 165 tenths, which can be represented as 165/10 in fraction form. The simplest form of 165/10 is 33/2. Therefore, 16.5 as a fraction is 33/2.
Write 16.5 as a fraction in simplest form.
16.5 = (?)
16.5 = 16.5/1
= (16.5/1) x (10/10) //16.5 can be recognized as 165 tenths.
= 165/10 //165 tenths is equal to 165/10 and it can be simplified further.
= (165/5)/(10/5) //5 is the GCF of 165 and 10. Divide both 165 and 10 by the GCF 5 to simplify the fraction.
= 33/2
16.5 = 33/2
16.5 in its simplest fraction form is 33/2.
So, what is the fraction of 16.5?
It is 165/10 in fraction. To simplify 165/10, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 165 by 5 gives 33,
and dividing 10 by 5 gives 2. Thus, 165/10 simplifies to 33/2
Refer to the step by step work further to learn how to find what is 16.5 as a fraction in simple form.
step 1
Input values:
The decimal number = 16.5
What to be found:
What is 16.5 as a fraction in simplest form?
step 2 Write 16.5 as a simple fraction.
16.5/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 16.5/1.
Since the decimal 16.5 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 16.5/1 to make numerator as a whole number.
(16.5 x 10)/(1 x 10) = 165/10
step 4
165 tenths is the fraction form of 16.5, however, it can be reduced further. To simplify 165/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 165 and 10 cancel each other.
165/10 = (5 x 33)/(5 x 2)
= 33/2
165/10 = 33/2
Hence,
16.5 as a fraction is 33/2.
Converting decimals like 16.5 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 16.5 to fraction form. In this case, 16.5 can be recognized as 165 tenths. So, the fraction form of 16.5 is 165/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 165/10 in its simplest form.