What is 0.805 as a fraction?
0.805 as a fraction is 805/1000 and its simplest form is 161/200.
Learn how to find what is 0.805 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 0.805 in its equivalent fraction form. It is required to recognize the decimal point 0.805 as 805 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.805 as a fraction and how it can be found easily.
Summary: 0.805 in fraction form
0.805 can be recognized as 805 thousandths, which can be represented as 805/1000 in fraction form. The simplest form of 805/1000 is 161/200. Therefore, 0.805 as a fraction is 161/200.
Write 0.805 as a fraction in simplest form.
0.805 = (?)
0.805 = 0.805/1
= (0.805/1) x (1000/1000) //0.805 can be recognized as 805 thousandths.
= 805/1000 //805 thousandths is equal to 805/1000 and it can be simplified further.
= (805/5)/(1000/5) //5 is the GCF of 805 and 1000. Divide both 805 and 1000 by the GCF 5 to simplify the fraction.
= 161/200
0.805 = 161/200
0.805 in its simplest fraction form is 161/200.
So, what is the fraction of 0.805?
It is 805/1000 in fraction. To simplify 805/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 805 by 5 gives 161,
and dividing 1000 by 5 gives 200. Thus, 805/1000 simplifies to 161/200
Refer to the step by step work further to learn how to find what is 0.805 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.805
What to be found:
What is 0.805 as a fraction in simplest form?
step 2 Write 0.805 as a simple fraction.
0.805/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.805/1.
Since the decimal 0.805 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.805/1 to make numerator as a whole number.
(0.805 x 1000)/(1 x 1000) = 805/1000
step 4
805 thousandths is the fraction form of 0.805, however, it can be reduced further. To simplify 805/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 805 and 1000 cancel each other.
805/1000 = (5 x 161)/(5 x 200)
= 161/200
805/1000 = 161/200
Hence,
0.805 as a fraction is 161/200.
Converting decimals like 0.805 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.805 to fraction form. In this case, 0.805 can be recognized as 805 thousandths. So, the fraction form of 0.805 is 805/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 805/1000 in its simplest form.