What is 0.522 as a fraction?
0.522 as a fraction is 522/1000 and its simplest form is 261/500.
Learn how to find what is 0.522 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 0.522 in its equivalent fraction form. It is required to recognize the decimal point 0.522 as 522 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.522 as a fraction and how it can be found easily.
Summary: 0.522 in fraction form
0.522 can be recognized as 522 thousandths, which can be represented as 522/1000 in fraction form. The simplest form of 522/1000 is 261/500. Therefore, 0.522 as a fraction is 261/500.
Write 0.522 as a fraction in simplest form.
0.522 = (?)
0.522 = 0.522/1
= (0.522/1) x (1000/1000) //0.522 can be recognized as 522 thousandths.
= 522/1000 //522 thousandths is equal to 522/1000 and it can be simplified further.
= (522/2)/(1000/2) //2 is the GCF of 522 and 1000. Divide both 522 and 1000 by the GCF 2 to simplify the fraction.
= 261/500
0.522 = 261/500
0.522 in its simplest fraction form is 261/500.
So, what is the fraction of 0.522?
It is 522/1000 in fraction. To simplify 522/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 522 by 2 gives 261,
and dividing 1000 by 2 gives 500. Thus, 522/1000 simplifies to 261/500
Refer to the step by step work further to learn how to find what is 0.522 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.522
What to be found:
What is 0.522 as a fraction in simplest form?
step 2 Write 0.522 as a simple fraction.
0.522/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.522/1.
Since the decimal 0.522 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.522/1 to make numerator as a whole number.
(0.522 x 1000)/(1 x 1000) = 522/1000
step 4
522 thousandths is the fraction form of 0.522, however, it can be reduced further. To simplify 522/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 522 and 1000 cancel each other.
522/1000 = (2 x 261)/(2 x 500)
= 261/500
522/1000 = 261/500
Hence,
0.522 as a fraction is 261/500.
Converting decimals like 0.522 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.522 to fraction form. In this case, 0.522 can be recognized as 522 thousandths. So, the fraction form of 0.522 is 522/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 522/1000 in its simplest form.