What is 0.484 as a fraction?
0.484 as a fraction is 484/1000 and its simplest form is 121/250.
Learn how to find what is 0.484 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 0.484 in its equivalent fraction form. It is required to recognize the decimal point 0.484 as 484 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.484 as a fraction and how it can be found easily.
Summary: 0.484 in fraction form
0.484 can be recognized as 484 thousandths, which can be represented as 484/1000 in fraction form. The simplest form of 484/1000 is 121/250. Therefore, 0.484 as a fraction is 121/250.
Write 0.484 as a fraction in simplest form.
0.484 = (?)
0.484 = 0.484/1
= (0.484/1) x (1000/1000) //0.484 can be recognized as 484 thousandths.
= 484/1000 //484 thousandths is equal to 484/1000 and it can be simplified further.
= (484/4)/(1000/4) //4 is the GCF of 484 and 1000. Divide both 484 and 1000 by the GCF 4 to simplify the fraction.
= 121/250
0.484 = 121/250
0.484 in its simplest fraction form is 121/250.
So, what is the fraction of 0.484?
It is 484/1000 in fraction. To simplify 484/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 484 by 4 gives 121,
and dividing 1000 by 4 gives 250. Thus, 484/1000 simplifies to 121/250
Refer to the step by step work further to learn how to find what is 0.484 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.484
What to be found:
What is 0.484 as a fraction in simplest form?
step 2 Write 0.484 as a simple fraction.
0.484/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.484/1.
Since the decimal 0.484 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.484/1 to make numerator as a whole number.
(0.484 x 1000)/(1 x 1000) = 484/1000
step 4
484 thousandths is the fraction form of 0.484, however, it can be reduced further. To simplify 484/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 484 and 1000 cancel each other.
484/1000 = (4 x 121)/(4 x 250)
= 121/250
484/1000 = 121/250
Hence,
0.484 as a fraction is 121/250.
Converting decimals like 0.484 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.484 to fraction form. In this case, 0.484 can be recognized as 484 thousandths. So, the fraction form of 0.484 is 484/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 484/1000 in its simplest form.