What is 0.402 as a fraction?
0.402 as a fraction is 402/1000 and its simplest form is 201/500.
Learn how to find what is 0.402 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 0.402 in its equivalent fraction form. It is required to recognize the decimal point 0.402 as 402 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.402 as a fraction and how it can be found easily.
Summary: 0.402 in fraction form
0.402 can be recognized as 402 thousandths, which can be represented as 402/1000 in fraction form. The simplest form of 402/1000 is 201/500. Therefore, 0.402 as a fraction is 201/500.
Write 0.402 as a fraction in simplest form.
0.402 = (?)
0.402 = 0.402/1
= (0.402/1) x (1000/1000) //0.402 can be recognized as 402 thousandths.
= 402/1000 //402 thousandths is equal to 402/1000 and it can be simplified further.
= (402/2)/(1000/2) //2 is the GCF of 402 and 1000. Divide both 402 and 1000 by the GCF 2 to simplify the fraction.
= 201/500
0.402 = 201/500
0.402 in its simplest fraction form is 201/500.
So, what is the fraction of 0.402?
It is 402/1000 in fraction. To simplify 402/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 402 by 2 gives 201,
and dividing 1000 by 2 gives 500. Thus, 402/1000 simplifies to 201/500
Refer to the step by step work further to learn how to find what is 0.402 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.402
What to be found:
What is 0.402 as a fraction in simplest form?
step 2 Write 0.402 as a simple fraction.
0.402/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.402/1.
Since the decimal 0.402 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.402/1 to make numerator as a whole number.
(0.402 x 1000)/(1 x 1000) = 402/1000
step 4
402 thousandths is the fraction form of 0.402, however, it can be reduced further. To simplify 402/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 402 and 1000 cancel each other.
402/1000 = (2 x 201)/(2 x 500)
= 201/500
402/1000 = 201/500
Hence,
0.402 as a fraction is 201/500.
Converting decimals like 0.402 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.402 to fraction form. In this case, 0.402 can be recognized as 402 thousandths. So, the fraction form of 0.402 is 402/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 402/1000 in its simplest form.