16.2 as a Fraction in Simplest Form

Learn how to find what is 16.2 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 16.2 in its equivalent fraction form. It is required to recognize the decimal point 16.2 as 162 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 16.2 as a fraction and how it can be found easily.

Summary: 16.2 in fraction form
16.2 can be recognized as 162 tenths, which can be represented as 162/10 in fraction form. The simplest form of 162/10 is 81/5. Therefore, 16.2 as a fraction is 81/5.

Write 16.2 as a fraction in simplest form.
16.2 = (?)
16.2 = 16.2/1
= (16.2/1) x (10/10)      //16.2 can be recognized as 162 tenths.
= 162/10      //162 tenths is equal to 162/10 and it can be simplified further.
= (162/2)/(10/2)       //2 is the GCF of 162 and 10. Divide both 162 and 10 by the GCF 2 to simplify the fraction.
= 81/5
16.2 = 81/5
16.2 in its simplest fraction form is 81/5.

So, what is the fraction of 16.2?
It is 162/10 in fraction. To simplify 162/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 162 by 2 gives 81, and dividing 10 by 2 gives 5. Thus, 162/10 simplifies to 81/5

Refer to the step by step work further to learn how to find what is 16.2 as a fraction in simple form.

step 1 Input values:
The decimal number = 16.2

What to be found:
What is 16.2 as a fraction in simplest form?

step 2 Write 16.2 as a simple fraction.
16.2/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 16.2/1.
Since the decimal 16.2 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 16.2/1 to make numerator as a whole number.
(16.2 x 10)/(1 x 10) = 162/10

step 4 162 tenths is the fraction form of 16.2, however, it can be reduced further. To simplify 162/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 162 and 10 cancel each other.
162/10 = (2 x 81)/(2 x 5)
= 81/5
162/10 = 81/5
Hence,
16.2 as a fraction is 81/5.

Converting decimals like 16.2 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 16.2 to fraction form. In this case, 16.2 can be recognized as 162 tenths. So, the fraction form of 16.2 is 162/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 162/10 in its simplest form.