What is 0.455 as a fraction?
0.455 as a fraction is 455/1000 and its simplest form is 91/200.
Learn how to find what is 0.455 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 0.455 in its equivalent fraction form. It is required to recognize the decimal point 0.455 as 455 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.455 as a fraction and how it can be found easily.
Summary: 0.455 in fraction form
0.455 can be recognized as 455 thousandths, which can be represented as 455/1000 in fraction form. The simplest form of 455/1000 is 91/200. Therefore, 0.455 as a fraction is 91/200.
Write 0.455 as a fraction in simplest form.
0.455 = (?)
0.455 = 0.455/1
= (0.455/1) x (1000/1000) //0.455 can be recognized as 455 thousandths.
= 455/1000 //455 thousandths is equal to 455/1000 and it can be simplified further.
= (455/5)/(1000/5) //5 is the GCF of 455 and 1000. Divide both 455 and 1000 by the GCF 5 to simplify the fraction.
= 91/200
0.455 = 91/200
0.455 in its simplest fraction form is 91/200.
So, what is the fraction of 0.455?
It is 455/1000 in fraction. To simplify 455/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 455 by 5 gives 91,
and dividing 1000 by 5 gives 200. Thus, 455/1000 simplifies to 91/200
Refer to the step by step work further to learn how to find what is 0.455 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.455
What to be found:
What is 0.455 as a fraction in simplest form?
step 2 Write 0.455 as a simple fraction.
0.455/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.455/1.
Since the decimal 0.455 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.455/1 to make numerator as a whole number.
(0.455 x 1000)/(1 x 1000) = 455/1000
step 4
455 thousandths is the fraction form of 0.455, however, it can be reduced further. To simplify 455/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 455 and 1000 cancel each other.
455/1000 = (5 x 91)/(5 x 200)
= 91/200
455/1000 = 91/200
Hence,
0.455 as a fraction is 91/200.
Converting decimals like 0.455 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.455 to fraction form. In this case, 0.455 can be recognized as 455 thousandths. So, the fraction form of 0.455 is 455/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 455/1000 in its simplest form.