What is 13.5 as a fraction?
13.5 as a fraction is 135/10 and its simplest form is 27/2.
Learn how to find what is 13.5 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 13.5 in its equivalent fraction form. It is required to recognize the decimal point 13.5 as 135 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 13.5 as a fraction and how it can be found easily.
Summary: 13.5 in fraction form
13.5 can be recognized as 135 tenths, which can be represented as 135/10 in fraction form. The simplest form of 135/10 is 27/2. Therefore, 13.5 as a fraction is 27/2.
Write 13.5 as a fraction in simplest form.
13.5 = (?)
13.5 = 13.5/1
= (13.5/1) x (10/10) //13.5 can be recognized as 135 tenths.
= 135/10 //135 tenths is equal to 135/10 and it can be simplified further.
= (135/5)/(10/5) //5 is the GCF of 135 and 10. Divide both 135 and 10 by the GCF 5 to simplify the fraction.
= 27/2
13.5 = 27/2
13.5 in its simplest fraction form is 27/2.
So, what is the fraction of 13.5?
It is 135/10 in fraction. To simplify 135/10, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 135 by 5 gives 27,
and dividing 10 by 5 gives 2. Thus, 135/10 simplifies to 27/2
Refer to the step by step work further to learn how to find what is 13.5 as a fraction in simple form.
step 1
Input values:
The decimal number = 13.5
What to be found:
What is 13.5 as a fraction in simplest form?
step 2 Write 13.5 as a simple fraction.
13.5/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 13.5/1.
Since the decimal 13.5 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 13.5/1 to make numerator as a whole number.
(13.5 x 10)/(1 x 10) = 135/10
step 4
135 tenths is the fraction form of 13.5, however, it can be reduced further. To simplify 135/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 135 and 10 cancel each other.
135/10 = (5 x 27)/(5 x 2)
= 27/2
135/10 = 27/2
Hence,
13.5 as a fraction is 27/2.
Converting decimals like 13.5 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 13.5 to fraction form. In this case, 13.5 can be recognized as 135 tenths. So, the fraction form of 13.5 is 135/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 135/10 in its simplest form.