What is 0.986 as a fraction?
0.986 as a fraction is 986/1000 and its simplest form is 493/500.
Learn how to find what is 0.986 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 0.986 in its equivalent fraction form. It is required to recognize the decimal point 0.986 as 986 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.986 as a fraction and how it can be found easily.
Summary: 0.986 in fraction form
0.986 can be recognized as 986 thousandths, which can be represented as 986/1000 in fraction form. The simplest form of 986/1000 is 493/500. Therefore, 0.986 as a fraction is 493/500.
Write 0.986 as a fraction in simplest form.
0.986 = (?)
0.986 = 0.986/1
= (0.986/1) x (1000/1000) //0.986 can be recognized as 986 thousandths.
= 986/1000 //986 thousandths is equal to 986/1000 and it can be simplified further.
= (986/2)/(1000/2) //2 is the GCF of 986 and 1000. Divide both 986 and 1000 by the GCF 2 to simplify the fraction.
= 493/500
0.986 = 493/500
0.986 in its simplest fraction form is 493/500.
So, what is the fraction of 0.986?
It is 986/1000 in fraction. To simplify 986/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 986 by 2 gives 493,
and dividing 1000 by 2 gives 500. Thus, 986/1000 simplifies to 493/500
Refer to the step by step work further to learn how to find what is 0.986 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.986
What to be found:
What is 0.986 as a fraction in simplest form?
step 2 Write 0.986 as a simple fraction.
0.986/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.986/1.
Since the decimal 0.986 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.986/1 to make numerator as a whole number.
(0.986 x 1000)/(1 x 1000) = 986/1000
step 4
986 thousandths is the fraction form of 0.986, however, it can be reduced further. To simplify 986/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 986 and 1000 cancel each other.
986/1000 = (2 x 493)/(2 x 500)
= 493/500
986/1000 = 493/500
Hence,
0.986 as a fraction is 493/500.
Converting decimals like 0.986 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.986 to fraction form. In this case, 0.986 can be recognized as 986 thousandths. So, the fraction form of 0.986 is 986/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 986/1000 in its simplest form.