What is 0.825 as a fraction?
0.825 as a fraction is 825/1000 and its simplest form is 33/40.
Learn how to find what is 0.825 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 0.825 in its equivalent fraction form. It is required to recognize the decimal point 0.825 as 825 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.825 as a fraction and how it can be found easily.
Summary: 0.825 in fraction form
0.825 can be recognized as 825 thousandths, which can be represented as 825/1000 in fraction form. The simplest form of 825/1000 is 33/40. Therefore, 0.825 as a fraction is 33/40.
Write 0.825 as a fraction in simplest form.
0.825 = (?)
0.825 = 0.825/1
= (0.825/1) x (1000/1000) //0.825 can be recognized as 825 thousandths.
= 825/1000 //825 thousandths is equal to 825/1000 and it can be simplified further.
= (825/25)/(1000/25) //25 is the GCF of 825 and 1000. Divide both 825 and 1000 by the GCF 25 to simplify the fraction.
= 33/40
0.825 = 33/40
0.825 in its simplest fraction form is 33/40.
So, what is the fraction of 0.825?
It is 825/1000 in fraction. To simplify 825/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 25 in this case. Dividing 825 by 25 gives 33,
and dividing 1000 by 25 gives 40. Thus, 825/1000 simplifies to 33/40
Refer to the step by step work further to learn how to find what is 0.825 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.825
What to be found:
What is 0.825 as a fraction in simplest form?
step 2 Write 0.825 as a simple fraction.
0.825/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.825/1.
Since the decimal 0.825 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.825/1 to make numerator as a whole number.
(0.825 x 1000)/(1 x 1000) = 825/1000
step 4
825 thousandths is the fraction form of 0.825, however, it can be reduced further. To simplify 825/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 825 and 1000 cancel each other.
825/1000 = (25 x 33)/(25 x 40)
= 33/40
825/1000 = 33/40
Hence,
0.825 as a fraction is 33/40.
Converting decimals like 0.825 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.825 to fraction form. In this case, 0.825 can be recognized as 825 thousandths. So, the fraction form of 0.825 is 825/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 825/1000 in its simplest form.