What is 0.838 as a fraction?
0.838 as a fraction is 838/1000 and its simplest form is 419/500.
Learn how to find what is 0.838 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 0.838 in its equivalent fraction form. It is required to recognize the decimal point 0.838 as 838 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.838 as a fraction and how it can be found easily.
Summary: 0.838 in fraction form
0.838 can be recognized as 838 thousandths, which can be represented as 838/1000 in fraction form. The simplest form of 838/1000 is 419/500. Therefore, 0.838 as a fraction is 419/500.
Write 0.838 as a fraction in simplest form.
0.838 = (?)
0.838 = 0.838/1
= (0.838/1) x (1000/1000) //0.838 can be recognized as 838 thousandths.
= 838/1000 //838 thousandths is equal to 838/1000 and it can be simplified further.
= (838/2)/(1000/2) //2 is the GCF of 838 and 1000. Divide both 838 and 1000 by the GCF 2 to simplify the fraction.
= 419/500
0.838 = 419/500
0.838 in its simplest fraction form is 419/500.
So, what is the fraction of 0.838?
It is 838/1000 in fraction. To simplify 838/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 838 by 2 gives 419,
and dividing 1000 by 2 gives 500. Thus, 838/1000 simplifies to 419/500
Refer to the step by step work further to learn how to find what is 0.838 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.838
What to be found:
What is 0.838 as a fraction in simplest form?
step 2 Write 0.838 as a simple fraction.
0.838/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.838/1.
Since the decimal 0.838 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.838/1 to make numerator as a whole number.
(0.838 x 1000)/(1 x 1000) = 838/1000
step 4
838 thousandths is the fraction form of 0.838, however, it can be reduced further. To simplify 838/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 838 and 1000 cancel each other.
838/1000 = (2 x 419)/(2 x 500)
= 419/500
838/1000 = 419/500
Hence,
0.838 as a fraction is 419/500.
Converting decimals like 0.838 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.838 to fraction form. In this case, 0.838 can be recognized as 838 thousandths. So, the fraction form of 0.838 is 838/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 838/1000 in its simplest form.