What is 0.225 as a fraction?
0.225 as a fraction is 225/1000 and its simplest form is 9/40.
Learn how to find what is 0.225 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 0.225 in its equivalent fraction form. It is required to recognize the decimal point 0.225 as 225 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.225 as a fraction and how it can be found easily.
Summary: 0.225 in fraction form
0.225 can be recognized as 225 thousandths, which can be represented as 225/1000 in fraction form. The simplest form of 225/1000 is 9/40. Therefore, 0.225 as a fraction is 9/40.
Write 0.225 as a fraction in simplest form.
0.225 = (?)
0.225 = 0.225/1
= (0.225/1) x (1000/1000) //0.225 can be recognized as 225 thousandths.
= 225/1000 //225 thousandths is equal to 225/1000 and it can be simplified further.
= (225/25)/(1000/25) //25 is the GCF of 225 and 1000. Divide both 225 and 1000 by the GCF 25 to simplify the fraction.
= 9/40
0.225 = 9/40
0.225 in its simplest fraction form is 9/40.
So, what is the fraction of 0.225?
It is 225/1000 in fraction. To simplify 225/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 25 in this case. Dividing 225 by 25 gives 9,
and dividing 1000 by 25 gives 40. Thus, 225/1000 simplifies to 9/40
Refer to the step by step work further to learn how to find what is 0.225 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.225
What to be found:
What is 0.225 as a fraction in simplest form?
step 2 Write 0.225 as a simple fraction.
0.225/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.225/1.
Since the decimal 0.225 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.225/1 to make numerator as a whole number.
(0.225 x 1000)/(1 x 1000) = 225/1000
step 4
225 thousandths is the fraction form of 0.225, however, it can be reduced further. To simplify 225/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 225 and 1000 cancel each other.
225/1000 = (25 x 9)/(25 x 40)
= 9/40
225/1000 = 9/40
Hence,
0.225 as a fraction is 9/40.
Converting decimals like 0.225 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.225 to fraction form. In this case, 0.225 can be recognized as 225 thousandths. So, the fraction form of 0.225 is 225/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 225/1000 in its simplest form.