What is 0.418 as a fraction?
0.418 as a fraction is 418/1000 and its simplest form is 209/500.
Learn how to find what is 0.418 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 0.418 in its equivalent fraction form. It is required to recognize the decimal point 0.418 as 418 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.418 as a fraction and how it can be found easily.
Summary: 0.418 in fraction form
0.418 can be recognized as 418 thousandths, which can be represented as 418/1000 in fraction form. The simplest form of 418/1000 is 209/500. Therefore, 0.418 as a fraction is 209/500.
Write 0.418 as a fraction in simplest form.
0.418 = (?)
0.418 = 0.418/1
= (0.418/1) x (1000/1000) //0.418 can be recognized as 418 thousandths.
= 418/1000 //418 thousandths is equal to 418/1000 and it can be simplified further.
= (418/2)/(1000/2) //2 is the GCF of 418 and 1000. Divide both 418 and 1000 by the GCF 2 to simplify the fraction.
= 209/500
0.418 = 209/500
0.418 in its simplest fraction form is 209/500.
So, what is the fraction of 0.418?
It is 418/1000 in fraction. To simplify 418/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 418 by 2 gives 209,
and dividing 1000 by 2 gives 500. Thus, 418/1000 simplifies to 209/500
Refer to the step by step work further to learn how to find what is 0.418 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.418
What to be found:
What is 0.418 as a fraction in simplest form?
step 2 Write 0.418 as a simple fraction.
0.418/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.418/1.
Since the decimal 0.418 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.418/1 to make numerator as a whole number.
(0.418 x 1000)/(1 x 1000) = 418/1000
step 4
418 thousandths is the fraction form of 0.418, however, it can be reduced further. To simplify 418/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 418 and 1000 cancel each other.
418/1000 = (2 x 209)/(2 x 500)
= 209/500
418/1000 = 209/500
Hence,
0.418 as a fraction is 209/500.
Converting decimals like 0.418 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.418 to fraction form. In this case, 0.418 can be recognized as 418 thousandths. So, the fraction form of 0.418 is 418/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 418/1000 in its simplest form.