What is 0.422 as a fraction?
0.422 as a fraction is 422/1000 and its simplest form is 211/500.
Learn how to find what is 0.422 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 0.422 in its equivalent fraction form. It is required to recognize the decimal point 0.422 as 422 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.422 as a fraction and how it can be found easily.
Summary: 0.422 in fraction form
0.422 can be recognized as 422 thousandths, which can be represented as 422/1000 in fraction form. The simplest form of 422/1000 is 211/500. Therefore, 0.422 as a fraction is 211/500.
Write 0.422 as a fraction in simplest form.
0.422 = (?)
0.422 = 0.422/1
= (0.422/1) x (1000/1000) //0.422 can be recognized as 422 thousandths.
= 422/1000 //422 thousandths is equal to 422/1000 and it can be simplified further.
= (422/2)/(1000/2) //2 is the GCF of 422 and 1000. Divide both 422 and 1000 by the GCF 2 to simplify the fraction.
= 211/500
0.422 = 211/500
0.422 in its simplest fraction form is 211/500.
So, what is the fraction of 0.422?
It is 422/1000 in fraction. To simplify 422/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 422 by 2 gives 211,
and dividing 1000 by 2 gives 500. Thus, 422/1000 simplifies to 211/500
Refer to the step by step work further to learn how to find what is 0.422 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.422
What to be found:
What is 0.422 as a fraction in simplest form?
step 2 Write 0.422 as a simple fraction.
0.422/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.422/1.
Since the decimal 0.422 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.422/1 to make numerator as a whole number.
(0.422 x 1000)/(1 x 1000) = 422/1000
step 4
422 thousandths is the fraction form of 0.422, however, it can be reduced further. To simplify 422/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 422 and 1000 cancel each other.
422/1000 = (2 x 211)/(2 x 500)
= 211/500
422/1000 = 211/500
Hence,
0.422 as a fraction is 211/500.
Converting decimals like 0.422 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.422 to fraction form. In this case, 0.422 can be recognized as 422 thousandths. So, the fraction form of 0.422 is 422/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 422/1000 in its simplest form.