What is 0.995 as a fraction?
0.995 as a fraction is 995/1000 and its simplest form is 199/200.
Learn how to find what is 0.995 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 0.995 in its equivalent fraction form. It is required to recognize the decimal point 0.995 as 995 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.995 as a fraction and how it can be found easily.
Summary: 0.995 in fraction form
0.995 can be recognized as 995 thousandths, which can be represented as 995/1000 in fraction form. The simplest form of 995/1000 is 199/200. Therefore, 0.995 as a fraction is 199/200.
Write 0.995 as a fraction in simplest form.
0.995 = (?)
0.995 = 0.995/1
= (0.995/1) x (1000/1000) //0.995 can be recognized as 995 thousandths.
= 995/1000 //995 thousandths is equal to 995/1000 and it can be simplified further.
= (995/5)/(1000/5) //5 is the GCF of 995 and 1000. Divide both 995 and 1000 by the GCF 5 to simplify the fraction.
= 199/200
0.995 = 199/200
0.995 in its simplest fraction form is 199/200.
So, what is the fraction of 0.995?
It is 995/1000 in fraction. To simplify 995/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 995 by 5 gives 199,
and dividing 1000 by 5 gives 200. Thus, 995/1000 simplifies to 199/200
Refer to the step by step work further to learn how to find what is 0.995 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.995
What to be found:
What is 0.995 as a fraction in simplest form?
step 2 Write 0.995 as a simple fraction.
0.995/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.995/1.
Since the decimal 0.995 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.995/1 to make numerator as a whole number.
(0.995 x 1000)/(1 x 1000) = 995/1000
step 4
995 thousandths is the fraction form of 0.995, however, it can be reduced further. To simplify 995/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 995 and 1000 cancel each other.
995/1000 = (5 x 199)/(5 x 200)
= 199/200
995/1000 = 199/200
Hence,
0.995 as a fraction is 199/200.
Converting decimals like 0.995 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.995 to fraction form. In this case, 0.995 can be recognized as 995 thousandths. So, the fraction form of 0.995 is 995/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 995/1000 in its simplest form.