What is 0.478 as a fraction?
0.478 as a fraction is 478/1000 and its simplest form is 239/500.
Learn how to find what is 0.478 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 0.478 in its equivalent fraction form. It is required to recognize the decimal point 0.478 as 478 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.478 as a fraction and how it can be found easily.
Summary: 0.478 in fraction form
0.478 can be recognized as 478 thousandths, which can be represented as 478/1000 in fraction form. The simplest form of 478/1000 is 239/500. Therefore, 0.478 as a fraction is 239/500.
Write 0.478 as a fraction in simplest form.
0.478 = (?)
0.478 = 0.478/1
= (0.478/1) x (1000/1000) //0.478 can be recognized as 478 thousandths.
= 478/1000 //478 thousandths is equal to 478/1000 and it can be simplified further.
= (478/2)/(1000/2) //2 is the GCF of 478 and 1000. Divide both 478 and 1000 by the GCF 2 to simplify the fraction.
= 239/500
0.478 = 239/500
0.478 in its simplest fraction form is 239/500.
So, what is the fraction of 0.478?
It is 478/1000 in fraction. To simplify 478/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 478 by 2 gives 239,
and dividing 1000 by 2 gives 500. Thus, 478/1000 simplifies to 239/500
Refer to the step by step work further to learn how to find what is 0.478 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.478
What to be found:
What is 0.478 as a fraction in simplest form?
step 2 Write 0.478 as a simple fraction.
0.478/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.478/1.
Since the decimal 0.478 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.478/1 to make numerator as a whole number.
(0.478 x 1000)/(1 x 1000) = 478/1000
step 4
478 thousandths is the fraction form of 0.478, however, it can be reduced further. To simplify 478/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 478 and 1000 cancel each other.
478/1000 = (2 x 239)/(2 x 500)
= 239/500
478/1000 = 239/500
Hence,
0.478 as a fraction is 239/500.
Converting decimals like 0.478 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.478 to fraction form. In this case, 0.478 can be recognized as 478 thousandths. So, the fraction form of 0.478 is 478/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 478/1000 in its simplest form.