What is 0.486 as a fraction?
0.486 as a fraction is 486/1000 and its simplest form is 243/500.
Learn how to find what is 0.486 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 0.486 in its equivalent fraction form. It is required to recognize the decimal point 0.486 as 486 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.486 as a fraction and how it can be found easily.
Summary: 0.486 in fraction form
0.486 can be recognized as 486 thousandths, which can be represented as 486/1000 in fraction form. The simplest form of 486/1000 is 243/500. Therefore, 0.486 as a fraction is 243/500.
Write 0.486 as a fraction in simplest form.
0.486 = (?)
0.486 = 0.486/1
= (0.486/1) x (1000/1000) //0.486 can be recognized as 486 thousandths.
= 486/1000 //486 thousandths is equal to 486/1000 and it can be simplified further.
= (486/2)/(1000/2) //2 is the GCF of 486 and 1000. Divide both 486 and 1000 by the GCF 2 to simplify the fraction.
= 243/500
0.486 = 243/500
0.486 in its simplest fraction form is 243/500.
So, what is the fraction of 0.486?
It is 486/1000 in fraction. To simplify 486/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 486 by 2 gives 243,
and dividing 1000 by 2 gives 500. Thus, 486/1000 simplifies to 243/500
Refer to the step by step work further to learn how to find what is 0.486 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.486
What to be found:
What is 0.486 as a fraction in simplest form?
step 2 Write 0.486 as a simple fraction.
0.486/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.486/1.
Since the decimal 0.486 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.486/1 to make numerator as a whole number.
(0.486 x 1000)/(1 x 1000) = 486/1000
step 4
486 thousandths is the fraction form of 0.486, however, it can be reduced further. To simplify 486/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 486 and 1000 cancel each other.
486/1000 = (2 x 243)/(2 x 500)
= 243/500
486/1000 = 243/500
Hence,
0.486 as a fraction is 243/500.
Converting decimals like 0.486 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.486 to fraction form. In this case, 0.486 can be recognized as 486 thousandths. So, the fraction form of 0.486 is 486/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 486/1000 in its simplest form.