What is 0.602 as a fraction?
0.602 as a fraction is 602/1000 and its simplest form is 301/500.
Learn how to find what is 0.602 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 0.602 in its equivalent fraction form. It is required to recognize the decimal point 0.602 as 602 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.602 as a fraction and how it can be found easily.
Summary: 0.602 in fraction form
0.602 can be recognized as 602 thousandths, which can be represented as 602/1000 in fraction form. The simplest form of 602/1000 is 301/500. Therefore, 0.602 as a fraction is 301/500.
Write 0.602 as a fraction in simplest form.
0.602 = (?)
0.602 = 0.602/1
= (0.602/1) x (1000/1000) //0.602 can be recognized as 602 thousandths.
= 602/1000 //602 thousandths is equal to 602/1000 and it can be simplified further.
= (602/2)/(1000/2) //2 is the GCF of 602 and 1000. Divide both 602 and 1000 by the GCF 2 to simplify the fraction.
= 301/500
0.602 = 301/500
0.602 in its simplest fraction form is 301/500.
So, what is the fraction of 0.602?
It is 602/1000 in fraction. To simplify 602/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 602 by 2 gives 301,
and dividing 1000 by 2 gives 500. Thus, 602/1000 simplifies to 301/500
Refer to the step by step work further to learn how to find what is 0.602 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.602
What to be found:
What is 0.602 as a fraction in simplest form?
step 2 Write 0.602 as a simple fraction.
0.602/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.602/1.
Since the decimal 0.602 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.602/1 to make numerator as a whole number.
(0.602 x 1000)/(1 x 1000) = 602/1000
step 4
602 thousandths is the fraction form of 0.602, however, it can be reduced further. To simplify 602/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 602 and 1000 cancel each other.
602/1000 = (2 x 301)/(2 x 500)
= 301/500
602/1000 = 301/500
Hence,
0.602 as a fraction is 301/500.
Converting decimals like 0.602 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.602 to fraction form. In this case, 0.602 can be recognized as 602 thousandths. So, the fraction form of 0.602 is 602/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 602/1000 in its simplest form.