What is 0.492 as a fraction?
0.492 as a fraction is 492/1000 and its simplest form is 123/250.
Learn how to find what is 0.492 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 0.492 in its equivalent fraction form. It is required to recognize the decimal point 0.492 as 492 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.492 as a fraction and how it can be found easily.
Summary: 0.492 in fraction form
0.492 can be recognized as 492 thousandths, which can be represented as 492/1000 in fraction form. The simplest form of 492/1000 is 123/250. Therefore, 0.492 as a fraction is 123/250.
Write 0.492 as a fraction in simplest form.
0.492 = (?)
0.492 = 0.492/1
= (0.492/1) x (1000/1000) //0.492 can be recognized as 492 thousandths.
= 492/1000 //492 thousandths is equal to 492/1000 and it can be simplified further.
= (492/4)/(1000/4) //4 is the GCF of 492 and 1000. Divide both 492 and 1000 by the GCF 4 to simplify the fraction.
= 123/250
0.492 = 123/250
0.492 in its simplest fraction form is 123/250.
So, what is the fraction of 0.492?
It is 492/1000 in fraction. To simplify 492/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 492 by 4 gives 123,
and dividing 1000 by 4 gives 250. Thus, 492/1000 simplifies to 123/250
Refer to the step by step work further to learn how to find what is 0.492 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.492
What to be found:
What is 0.492 as a fraction in simplest form?
step 2 Write 0.492 as a simple fraction.
0.492/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.492/1.
Since the decimal 0.492 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.492/1 to make numerator as a whole number.
(0.492 x 1000)/(1 x 1000) = 492/1000
step 4
492 thousandths is the fraction form of 0.492, however, it can be reduced further. To simplify 492/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 492 and 1000 cancel each other.
492/1000 = (4 x 123)/(4 x 250)
= 123/250
492/1000 = 123/250
Hence,
0.492 as a fraction is 123/250.
Converting decimals like 0.492 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.492 to fraction form. In this case, 0.492 can be recognized as 492 thousandths. So, the fraction form of 0.492 is 492/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 492/1000 in its simplest form.