What is 0.996 as a fraction?
0.996 as a fraction is 996/1000 and its simplest form is 249/250.
Learn how to find what is 0.996 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 0.996 in its equivalent fraction form. It is required to recognize the decimal point 0.996 as 996 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.996 as a fraction and how it can be found easily.
Summary: 0.996 in fraction form
0.996 can be recognized as 996 thousandths, which can be represented as 996/1000 in fraction form. The simplest form of 996/1000 is 249/250. Therefore, 0.996 as a fraction is 249/250.
Write 0.996 as a fraction in simplest form.
0.996 = (?)
0.996 = 0.996/1
= (0.996/1) x (1000/1000) //0.996 can be recognized as 996 thousandths.
= 996/1000 //996 thousandths is equal to 996/1000 and it can be simplified further.
= (996/4)/(1000/4) //4 is the GCF of 996 and 1000. Divide both 996 and 1000 by the GCF 4 to simplify the fraction.
= 249/250
0.996 = 249/250
0.996 in its simplest fraction form is 249/250.
So, what is the fraction of 0.996?
It is 996/1000 in fraction. To simplify 996/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 996 by 4 gives 249,
and dividing 1000 by 4 gives 250. Thus, 996/1000 simplifies to 249/250
Refer to the step by step work further to learn how to find what is 0.996 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.996
What to be found:
What is 0.996 as a fraction in simplest form?
step 2 Write 0.996 as a simple fraction.
0.996/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.996/1.
Since the decimal 0.996 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.996/1 to make numerator as a whole number.
(0.996 x 1000)/(1 x 1000) = 996/1000
step 4
996 thousandths is the fraction form of 0.996, however, it can be reduced further. To simplify 996/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 996 and 1000 cancel each other.
996/1000 = (4 x 249)/(4 x 250)
= 249/250
996/1000 = 249/250
Hence,
0.996 as a fraction is 249/250.
Converting decimals like 0.996 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.996 to fraction form. In this case, 0.996 can be recognized as 996 thousandths. So, the fraction form of 0.996 is 996/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 996/1000 in its simplest form.