What is 0.495 as a fraction?
0.495 as a fraction is 495/1000 and its simplest form is 99/200.
Learn how to find what is 0.495 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 0.495 in its equivalent fraction form. It is required to recognize the decimal point 0.495 as 495 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.495 as a fraction and how it can be found easily.
Summary: 0.495 in fraction form
0.495 can be recognized as 495 thousandths, which can be represented as 495/1000 in fraction form. The simplest form of 495/1000 is 99/200. Therefore, 0.495 as a fraction is 99/200.
Write 0.495 as a fraction in simplest form.
0.495 = (?)
0.495 = 0.495/1
= (0.495/1) x (1000/1000) //0.495 can be recognized as 495 thousandths.
= 495/1000 //495 thousandths is equal to 495/1000 and it can be simplified further.
= (495/5)/(1000/5) //5 is the GCF of 495 and 1000. Divide both 495 and 1000 by the GCF 5 to simplify the fraction.
= 99/200
0.495 = 99/200
0.495 in its simplest fraction form is 99/200.
So, what is the fraction of 0.495?
It is 495/1000 in fraction. To simplify 495/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 495 by 5 gives 99,
and dividing 1000 by 5 gives 200. Thus, 495/1000 simplifies to 99/200
Refer to the step by step work further to learn how to find what is 0.495 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.495
What to be found:
What is 0.495 as a fraction in simplest form?
step 2 Write 0.495 as a simple fraction.
0.495/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.495/1.
Since the decimal 0.495 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.495/1 to make numerator as a whole number.
(0.495 x 1000)/(1 x 1000) = 495/1000
step 4
495 thousandths is the fraction form of 0.495, however, it can be reduced further. To simplify 495/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 495 and 1000 cancel each other.
495/1000 = (5 x 99)/(5 x 200)
= 99/200
495/1000 = 99/200
Hence,
0.495 as a fraction is 99/200.
Converting decimals like 0.495 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.495 to fraction form. In this case, 0.495 can be recognized as 495 thousandths. So, the fraction form of 0.495 is 495/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 495/1000 in its simplest form.