What is 0.802 as a fraction?
0.802 as a fraction is 802/1000 and its simplest form is 401/500.
Learn how to find what is 0.802 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 0.802 in its equivalent fraction form. It is required to recognize the decimal point 0.802 as 802 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.802 as a fraction and how it can be found easily.
Summary: 0.802 in fraction form
0.802 can be recognized as 802 thousandths, which can be represented as 802/1000 in fraction form. The simplest form of 802/1000 is 401/500. Therefore, 0.802 as a fraction is 401/500.
Write 0.802 as a fraction in simplest form.
0.802 = (?)
0.802 = 0.802/1
= (0.802/1) x (1000/1000) //0.802 can be recognized as 802 thousandths.
= 802/1000 //802 thousandths is equal to 802/1000 and it can be simplified further.
= (802/2)/(1000/2) //2 is the GCF of 802 and 1000. Divide both 802 and 1000 by the GCF 2 to simplify the fraction.
= 401/500
0.802 = 401/500
0.802 in its simplest fraction form is 401/500.
So, what is the fraction of 0.802?
It is 802/1000 in fraction. To simplify 802/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 802 by 2 gives 401,
and dividing 1000 by 2 gives 500. Thus, 802/1000 simplifies to 401/500
Refer to the step by step work further to learn how to find what is 0.802 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.802
What to be found:
What is 0.802 as a fraction in simplest form?
step 2 Write 0.802 as a simple fraction.
0.802/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.802/1.
Since the decimal 0.802 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.802/1 to make numerator as a whole number.
(0.802 x 1000)/(1 x 1000) = 802/1000
step 4
802 thousandths is the fraction form of 0.802, however, it can be reduced further. To simplify 802/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 802 and 1000 cancel each other.
802/1000 = (2 x 401)/(2 x 500)
= 401/500
802/1000 = 401/500
Hence,
0.802 as a fraction is 401/500.
Converting decimals like 0.802 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.802 to fraction form. In this case, 0.802 can be recognized as 802 thousandths. So, the fraction form of 0.802 is 802/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 802/1000 in its simplest form.