What is 0.438 as a fraction?
0.438 as a fraction is 438/1000 and its simplest form is 219/500.
Learn how to find what is 0.438 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 0.438 in its equivalent fraction form. It is required to recognize the decimal point 0.438 as 438 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.438 as a fraction and how it can be found easily.
Summary: 0.438 in fraction form
0.438 can be recognized as 438 thousandths, which can be represented as 438/1000 in fraction form. The simplest form of 438/1000 is 219/500. Therefore, 0.438 as a fraction is 219/500.
Write 0.438 as a fraction in simplest form.
0.438 = (?)
0.438 = 0.438/1
= (0.438/1) x (1000/1000) //0.438 can be recognized as 438 thousandths.
= 438/1000 //438 thousandths is equal to 438/1000 and it can be simplified further.
= (438/2)/(1000/2) //2 is the GCF of 438 and 1000. Divide both 438 and 1000 by the GCF 2 to simplify the fraction.
= 219/500
0.438 = 219/500
0.438 in its simplest fraction form is 219/500.
So, what is the fraction of 0.438?
It is 438/1000 in fraction. To simplify 438/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 438 by 2 gives 219,
and dividing 1000 by 2 gives 500. Thus, 438/1000 simplifies to 219/500
Refer to the step by step work further to learn how to find what is 0.438 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.438
What to be found:
What is 0.438 as a fraction in simplest form?
step 2 Write 0.438 as a simple fraction.
0.438/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.438/1.
Since the decimal 0.438 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.438/1 to make numerator as a whole number.
(0.438 x 1000)/(1 x 1000) = 438/1000
step 4
438 thousandths is the fraction form of 0.438, however, it can be reduced further. To simplify 438/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 438 and 1000 cancel each other.
438/1000 = (2 x 219)/(2 x 500)
= 219/500
438/1000 = 219/500
Hence,
0.438 as a fraction is 219/500.
Converting decimals like 0.438 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.438 to fraction form. In this case, 0.438 can be recognized as 438 thousandths. So, the fraction form of 0.438 is 438/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 438/1000 in its simplest form.