What is 0.538 as a fraction?
0.538 as a fraction is 538/1000 and its simplest form is 269/500.
Learn how to find what is 0.538 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 0.538 in its equivalent fraction form. It is required to recognize the decimal point 0.538 as 538 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.538 as a fraction and how it can be found easily.
Summary: 0.538 in fraction form
0.538 can be recognized as 538 thousandths, which can be represented as 538/1000 in fraction form. The simplest form of 538/1000 is 269/500. Therefore, 0.538 as a fraction is 269/500.
Write 0.538 as a fraction in simplest form.
0.538 = (?)
0.538 = 0.538/1
= (0.538/1) x (1000/1000) //0.538 can be recognized as 538 thousandths.
= 538/1000 //538 thousandths is equal to 538/1000 and it can be simplified further.
= (538/2)/(1000/2) //2 is the GCF of 538 and 1000. Divide both 538 and 1000 by the GCF 2 to simplify the fraction.
= 269/500
0.538 = 269/500
0.538 in its simplest fraction form is 269/500.
So, what is the fraction of 0.538?
It is 538/1000 in fraction. To simplify 538/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 538 by 2 gives 269,
and dividing 1000 by 2 gives 500. Thus, 538/1000 simplifies to 269/500
Refer to the step by step work further to learn how to find what is 0.538 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.538
What to be found:
What is 0.538 as a fraction in simplest form?
step 2 Write 0.538 as a simple fraction.
0.538/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.538/1.
Since the decimal 0.538 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.538/1 to make numerator as a whole number.
(0.538 x 1000)/(1 x 1000) = 538/1000
step 4
538 thousandths is the fraction form of 0.538, however, it can be reduced further. To simplify 538/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 538 and 1000 cancel each other.
538/1000 = (2 x 269)/(2 x 500)
= 269/500
538/1000 = 269/500
Hence,
0.538 as a fraction is 269/500.
Converting decimals like 0.538 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.538 to fraction form. In this case, 0.538 can be recognized as 538 thousandths. So, the fraction form of 0.538 is 538/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 538/1000 in its simplest form.