What is 0.205 as a fraction?
0.205 as a fraction is 205/1000 and its simplest form is 41/200.
Learn how to find what is 0.205 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 0.205 in its equivalent fraction form. It is required to recognize the decimal point 0.205 as 205 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.205 as a fraction and how it can be found easily.
Summary: 0.205 in fraction form
0.205 can be recognized as 205 thousandths, which can be represented as 205/1000 in fraction form. The simplest form of 205/1000 is 41/200. Therefore, 0.205 as a fraction is 41/200.
Write 0.205 as a fraction in simplest form.
0.205 = (?)
0.205 = 0.205/1
= (0.205/1) x (1000/1000) //0.205 can be recognized as 205 thousandths.
= 205/1000 //205 thousandths is equal to 205/1000 and it can be simplified further.
= (205/5)/(1000/5) //5 is the GCF of 205 and 1000. Divide both 205 and 1000 by the GCF 5 to simplify the fraction.
= 41/200
0.205 = 41/200
0.205 in its simplest fraction form is 41/200.
So, what is the fraction of 0.205?
It is 205/1000 in fraction. To simplify 205/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 205 by 5 gives 41,
and dividing 1000 by 5 gives 200. Thus, 205/1000 simplifies to 41/200
Refer to the step by step work further to learn how to find what is 0.205 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.205
What to be found:
What is 0.205 as a fraction in simplest form?
step 2 Write 0.205 as a simple fraction.
0.205/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.205/1.
Since the decimal 0.205 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.205/1 to make numerator as a whole number.
(0.205 x 1000)/(1 x 1000) = 205/1000
step 4
205 thousandths is the fraction form of 0.205, however, it can be reduced further. To simplify 205/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 205 and 1000 cancel each other.
205/1000 = (5 x 41)/(5 x 200)
= 41/200
205/1000 = 41/200
Hence,
0.205 as a fraction is 41/200.
Converting decimals like 0.205 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.205 to fraction form. In this case, 0.205 can be recognized as 205 thousandths. So, the fraction form of 0.205 is 205/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 205/1000 in its simplest form.