What is 0.198 as a fraction?
0.198 as a fraction is 198/1000 and its simplest form is 99/500.
Learn how to find what is 0.198 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 0.198 in its equivalent fraction form. It is required to recognize the decimal point 0.198 as 198 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.198 as a fraction and how it can be found easily.
Summary: 0.198 in fraction form
0.198 can be recognized as 198 thousandths, which can be represented as 198/1000 in fraction form. The simplest form of 198/1000 is 99/500. Therefore, 0.198 as a fraction is 99/500.
Write 0.198 as a fraction in simplest form.
0.198 = (?)
0.198 = 0.198/1
= (0.198/1) x (1000/1000) //0.198 can be recognized as 198 thousandths.
= 198/1000 //198 thousandths is equal to 198/1000 and it can be simplified further.
= (198/2)/(1000/2) //2 is the GCF of 198 and 1000. Divide both 198 and 1000 by the GCF 2 to simplify the fraction.
= 99/500
0.198 = 99/500
0.198 in its simplest fraction form is 99/500.
So, what is the fraction of 0.198?
It is 198/1000 in fraction. To simplify 198/1000, 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 1000 by 2 gives 500. Thus, 198/1000 simplifies to 99/500
Refer to the step by step work further to learn how to find what is 0.198 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.198
What to be found:
What is 0.198 as a fraction in simplest form?
step 2 Write 0.198 as a simple fraction.
0.198/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.198/1.
Since the decimal 0.198 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.198/1 to make numerator as a whole number.
(0.198 x 1000)/(1 x 1000) = 198/1000
step 4
198 thousandths is the fraction form of 0.198, however, it can be reduced further. To simplify 198/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 198 and 1000 cancel each other.
198/1000 = (2 x 99)/(2 x 500)
= 99/500
198/1000 = 99/500
Hence,
0.198 as a fraction is 99/500.
Converting decimals like 0.198 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.198 to fraction form. In this case, 0.198 can be recognized as 198 thousandths. So, the fraction form of 0.198 is 198/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 198/1000 in its simplest form.