19.8 as a Fraction in Simplest Form

Learn how to find what is 19.8 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 19.8 in its equivalent fraction form. It is required to recognize the decimal point 19.8 as 198 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 19.8 as a fraction and how it can be found easily.

Summary: 19.8 in fraction form
19.8 can be recognized as 198 tenths, which can be represented as 198/10 in fraction form. The simplest form of 198/10 is 99/5. Therefore, 19.8 as a fraction is 99/5.

Write 19.8 as a fraction in simplest form.
19.8 = (?)
19.8 = 19.8/1
= (19.8/1) x (10/10)      //19.8 can be recognized as 198 tenths.
= 198/10      //198 tenths is equal to 198/10 and it can be simplified further.
= (198/2)/(10/2)       //2 is the GCF of 198 and 10. Divide both 198 and 10 by the GCF 2 to simplify the fraction.
= 99/5
19.8 = 99/5
19.8 in its simplest fraction form is 99/5.

So, what is the fraction of 19.8?
It is 198/10 in fraction. To simplify 198/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 198 by 2 gives 99, and dividing 10 by 2 gives 5. Thus, 198/10 simplifies to 99/5

Refer to the step by step work further to learn how to find what is 19.8 as a fraction in simple form.

step 1 Input values:
The decimal number = 19.8

What to be found:
What is 19.8 as a fraction in simplest form?

step 2 Write 19.8 as a simple fraction.
19.8/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 19.8/1.
Since the decimal 19.8 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 19.8/1 to make numerator as a whole number.
(19.8 x 10)/(1 x 10) = 198/10

step 4 198 tenths is the fraction form of 19.8, however, it can be reduced further. To simplify 198/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 198 and 10 cancel each other.
198/10 = (2 x 99)/(2 x 5)
= 99/5
198/10 = 99/5
Hence,
19.8 as a fraction is 99/5.

Converting decimals like 19.8 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 19.8 to fraction form. In this case, 19.8 can be recognized as 198 tenths. So, the fraction form of 19.8 is 198/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 198/10 in its simplest form.