What is 0.458 as a fraction?
0.458 as a fraction is 458/1000 and its simplest form is 229/500.
Learn how to find what is 0.458 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 0.458 in its equivalent fraction form. It is required to recognize the decimal point 0.458 as 458 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.458 as a fraction and how it can be found easily.
Summary: 0.458 in fraction form
0.458 can be recognized as 458 thousandths, which can be represented as 458/1000 in fraction form. The simplest form of 458/1000 is 229/500. Therefore, 0.458 as a fraction is 229/500.
Write 0.458 as a fraction in simplest form.
0.458 = (?)
0.458 = 0.458/1
= (0.458/1) x (1000/1000) //0.458 can be recognized as 458 thousandths.
= 458/1000 //458 thousandths is equal to 458/1000 and it can be simplified further.
= (458/2)/(1000/2) //2 is the GCF of 458 and 1000. Divide both 458 and 1000 by the GCF 2 to simplify the fraction.
= 229/500
0.458 = 229/500
0.458 in its simplest fraction form is 229/500.
So, what is the fraction of 0.458?
It is 458/1000 in fraction. To simplify 458/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 458 by 2 gives 229,
and dividing 1000 by 2 gives 500. Thus, 458/1000 simplifies to 229/500
Refer to the step by step work further to learn how to find what is 0.458 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.458
What to be found:
What is 0.458 as a fraction in simplest form?
step 2 Write 0.458 as a simple fraction.
0.458/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.458/1.
Since the decimal 0.458 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.458/1 to make numerator as a whole number.
(0.458 x 1000)/(1 x 1000) = 458/1000
step 4
458 thousandths is the fraction form of 0.458, however, it can be reduced further. To simplify 458/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 458 and 1000 cancel each other.
458/1000 = (2 x 229)/(2 x 500)
= 229/500
458/1000 = 229/500
Hence,
0.458 as a fraction is 229/500.
Converting decimals like 0.458 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.458 to fraction form. In this case, 0.458 can be recognized as 458 thousandths. So, the fraction form of 0.458 is 458/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 458/1000 in its simplest form.