What is 0.446 as a fraction?
0.446 as a fraction is 446/1000 and its simplest form is 223/500.
Learn how to find what is 0.446 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 0.446 in its equivalent fraction form. It is required to recognize the decimal point 0.446 as 446 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.446 as a fraction and how it can be found easily.
Summary: 0.446 in fraction form
0.446 can be recognized as 446 thousandths, which can be represented as 446/1000 in fraction form. The simplest form of 446/1000 is 223/500. Therefore, 0.446 as a fraction is 223/500.
Write 0.446 as a fraction in simplest form.
0.446 = (?)
0.446 = 0.446/1
= (0.446/1) x (1000/1000) //0.446 can be recognized as 446 thousandths.
= 446/1000 //446 thousandths is equal to 446/1000 and it can be simplified further.
= (446/2)/(1000/2) //2 is the GCF of 446 and 1000. Divide both 446 and 1000 by the GCF 2 to simplify the fraction.
= 223/500
0.446 = 223/500
0.446 in its simplest fraction form is 223/500.
So, what is the fraction of 0.446?
It is 446/1000 in fraction. To simplify 446/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 446 by 2 gives 223,
and dividing 1000 by 2 gives 500. Thus, 446/1000 simplifies to 223/500
Refer to the step by step work further to learn how to find what is 0.446 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.446
What to be found:
What is 0.446 as a fraction in simplest form?
step 2 Write 0.446 as a simple fraction.
0.446/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.446/1.
Since the decimal 0.446 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.446/1 to make numerator as a whole number.
(0.446 x 1000)/(1 x 1000) = 446/1000
step 4
446 thousandths is the fraction form of 0.446, however, it can be reduced further. To simplify 446/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 446 and 1000 cancel each other.
446/1000 = (2 x 223)/(2 x 500)
= 223/500
446/1000 = 223/500
Hence,
0.446 as a fraction is 223/500.
Converting decimals like 0.446 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.446 to fraction form. In this case, 0.446 can be recognized as 446 thousandths. So, the fraction form of 0.446 is 446/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 446/1000 in its simplest form.