What is 0.302 as a fraction?
0.302 as a fraction is 302/1000 and its simplest form is 151/500.
Learn how to find what is 0.302 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 0.302 in its equivalent fraction form. It is required to recognize the decimal point 0.302 as 302 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.302 as a fraction and how it can be found easily.
Summary: 0.302 in fraction form
0.302 can be recognized as 302 thousandths, which can be represented as 302/1000 in fraction form. The simplest form of 302/1000 is 151/500. Therefore, 0.302 as a fraction is 151/500.
Write 0.302 as a fraction in simplest form.
0.302 = (?)
0.302 = 0.302/1
= (0.302/1) x (1000/1000) //0.302 can be recognized as 302 thousandths.
= 302/1000 //302 thousandths is equal to 302/1000 and it can be simplified further.
= (302/2)/(1000/2) //2 is the GCF of 302 and 1000. Divide both 302 and 1000 by the GCF 2 to simplify the fraction.
= 151/500
0.302 = 151/500
0.302 in its simplest fraction form is 151/500.
So, what is the fraction of 0.302?
It is 302/1000 in fraction. To simplify 302/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 302 by 2 gives 151,
and dividing 1000 by 2 gives 500. Thus, 302/1000 simplifies to 151/500
Refer to the step by step work further to learn how to find what is 0.302 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.302
What to be found:
What is 0.302 as a fraction in simplest form?
step 2 Write 0.302 as a simple fraction.
0.302/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.302/1.
Since the decimal 0.302 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.302/1 to make numerator as a whole number.
(0.302 x 1000)/(1 x 1000) = 302/1000
step 4
302 thousandths is the fraction form of 0.302, however, it can be reduced further. To simplify 302/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 302 and 1000 cancel each other.
302/1000 = (2 x 151)/(2 x 500)
= 151/500
302/1000 = 151/500
Hence,
0.302 as a fraction is 151/500.
Converting decimals like 0.302 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.302 to fraction form. In this case, 0.302 can be recognized as 302 thousandths. So, the fraction form of 0.302 is 302/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 302/1000 in its simplest form.