What is 0.982 as a fraction?
0.982 as a fraction is 982/1000 and its simplest form is 491/500.
Learn how to find what is 0.982 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 0.982 in its equivalent fraction form. It is required to recognize the decimal point 0.982 as 982 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.982 as a fraction and how it can be found easily.
Summary: 0.982 in fraction form
0.982 can be recognized as 982 thousandths, which can be represented as 982/1000 in fraction form. The simplest form of 982/1000 is 491/500. Therefore, 0.982 as a fraction is 491/500.
Write 0.982 as a fraction in simplest form.
0.982 = (?)
0.982 = 0.982/1
= (0.982/1) x (1000/1000) //0.982 can be recognized as 982 thousandths.
= 982/1000 //982 thousandths is equal to 982/1000 and it can be simplified further.
= (982/2)/(1000/2) //2 is the GCF of 982 and 1000. Divide both 982 and 1000 by the GCF 2 to simplify the fraction.
= 491/500
0.982 = 491/500
0.982 in its simplest fraction form is 491/500.
So, what is the fraction of 0.982?
It is 982/1000 in fraction. To simplify 982/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 982 by 2 gives 491,
and dividing 1000 by 2 gives 500. Thus, 982/1000 simplifies to 491/500
Refer to the step by step work further to learn how to find what is 0.982 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.982
What to be found:
What is 0.982 as a fraction in simplest form?
step 2 Write 0.982 as a simple fraction.
0.982/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.982/1.
Since the decimal 0.982 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.982/1 to make numerator as a whole number.
(0.982 x 1000)/(1 x 1000) = 982/1000
step 4
982 thousandths is the fraction form of 0.982, however, it can be reduced further. To simplify 982/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 982 and 1000 cancel each other.
982/1000 = (2 x 491)/(2 x 500)
= 491/500
982/1000 = 491/500
Hence,
0.982 as a fraction is 491/500.
Converting decimals like 0.982 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.982 to fraction form. In this case, 0.982 can be recognized as 982 thousandths. So, the fraction form of 0.982 is 982/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 982/1000 in its simplest form.