What is 0.562 as a fraction?
0.562 as a fraction is 562/1000 and its simplest form is 281/500.
Learn how to find what is 0.562 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 0.562 in its equivalent fraction form. It is required to recognize the decimal point 0.562 as 562 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.562 as a fraction and how it can be found easily.
Summary: 0.562 in fraction form
0.562 can be recognized as 562 thousandths, which can be represented as 562/1000 in fraction form. The simplest form of 562/1000 is 281/500. Therefore, 0.562 as a fraction is 281/500.
Write 0.562 as a fraction in simplest form.
0.562 = (?)
0.562 = 0.562/1
= (0.562/1) x (1000/1000) //0.562 can be recognized as 562 thousandths.
= 562/1000 //562 thousandths is equal to 562/1000 and it can be simplified further.
= (562/2)/(1000/2) //2 is the GCF of 562 and 1000. Divide both 562 and 1000 by the GCF 2 to simplify the fraction.
= 281/500
0.562 = 281/500
0.562 in its simplest fraction form is 281/500.
So, what is the fraction of 0.562?
It is 562/1000 in fraction. To simplify 562/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 562 by 2 gives 281,
and dividing 1000 by 2 gives 500. Thus, 562/1000 simplifies to 281/500
Refer to the step by step work further to learn how to find what is 0.562 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.562
What to be found:
What is 0.562 as a fraction in simplest form?
step 2 Write 0.562 as a simple fraction.
0.562/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.562/1.
Since the decimal 0.562 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.562/1 to make numerator as a whole number.
(0.562 x 1000)/(1 x 1000) = 562/1000
step 4
562 thousandths is the fraction form of 0.562, however, it can be reduced further. To simplify 562/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 562 and 1000 cancel each other.
562/1000 = (2 x 281)/(2 x 500)
= 281/500
562/1000 = 281/500
Hence,
0.562 as a fraction is 281/500.
Converting decimals like 0.562 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.562 to fraction form. In this case, 0.562 can be recognized as 562 thousandths. So, the fraction form of 0.562 is 562/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 562/1000 in its simplest form.