What is 0.494 as a fraction?
0.494 as a fraction is 494/1000 and its simplest form is 247/500.
Learn how to find what is 0.494 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 0.494 in its equivalent fraction form. It is required to recognize the decimal point 0.494 as 494 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.494 as a fraction and how it can be found easily.
Summary: 0.494 in fraction form
0.494 can be recognized as 494 thousandths, which can be represented as 494/1000 in fraction form. The simplest form of 494/1000 is 247/500. Therefore, 0.494 as a fraction is 247/500.
Write 0.494 as a fraction in simplest form.
0.494 = (?)
0.494 = 0.494/1
= (0.494/1) x (1000/1000) //0.494 can be recognized as 494 thousandths.
= 494/1000 //494 thousandths is equal to 494/1000 and it can be simplified further.
= (494/2)/(1000/2) //2 is the GCF of 494 and 1000. Divide both 494 and 1000 by the GCF 2 to simplify the fraction.
= 247/500
0.494 = 247/500
0.494 in its simplest fraction form is 247/500.
So, what is the fraction of 0.494?
It is 494/1000 in fraction. To simplify 494/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 494 by 2 gives 247,
and dividing 1000 by 2 gives 500. Thus, 494/1000 simplifies to 247/500
Refer to the step by step work further to learn how to find what is 0.494 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.494
What to be found:
What is 0.494 as a fraction in simplest form?
step 2 Write 0.494 as a simple fraction.
0.494/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.494/1.
Since the decimal 0.494 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.494/1 to make numerator as a whole number.
(0.494 x 1000)/(1 x 1000) = 494/1000
step 4
494 thousandths is the fraction form of 0.494, however, it can be reduced further. To simplify 494/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 494 and 1000 cancel each other.
494/1000 = (2 x 247)/(2 x 500)
= 247/500
494/1000 = 247/500
Hence,
0.494 as a fraction is 247/500.
Converting decimals like 0.494 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.494 to fraction form. In this case, 0.494 can be recognized as 494 thousandths. So, the fraction form of 0.494 is 494/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 494/1000 in its simplest form.