What is 0.828 as a fraction?
0.828 as a fraction is 828/1000 and its simplest form is 207/250.
Learn how to find what is 0.828 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 0.828 in its equivalent fraction form. It is required to recognize the decimal point 0.828 as 828 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.828 as a fraction and how it can be found easily.
Summary: 0.828 in fraction form
0.828 can be recognized as 828 thousandths, which can be represented as 828/1000 in fraction form. The simplest form of 828/1000 is 207/250. Therefore, 0.828 as a fraction is 207/250.
Write 0.828 as a fraction in simplest form.
0.828 = (?)
0.828 = 0.828/1
= (0.828/1) x (1000/1000) //0.828 can be recognized as 828 thousandths.
= 828/1000 //828 thousandths is equal to 828/1000 and it can be simplified further.
= (828/4)/(1000/4) //4 is the GCF of 828 and 1000. Divide both 828 and 1000 by the GCF 4 to simplify the fraction.
= 207/250
0.828 = 207/250
0.828 in its simplest fraction form is 207/250.
So, what is the fraction of 0.828?
It is 828/1000 in fraction. To simplify 828/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 828 by 4 gives 207,
and dividing 1000 by 4 gives 250. Thus, 828/1000 simplifies to 207/250
Refer to the step by step work further to learn how to find what is 0.828 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.828
What to be found:
What is 0.828 as a fraction in simplest form?
step 2 Write 0.828 as a simple fraction.
0.828/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.828/1.
Since the decimal 0.828 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.828/1 to make numerator as a whole number.
(0.828 x 1000)/(1 x 1000) = 828/1000
step 4
828 thousandths is the fraction form of 0.828, however, it can be reduced further. To simplify 828/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 828 and 1000 cancel each other.
828/1000 = (4 x 207)/(4 x 250)
= 207/250
828/1000 = 207/250
Hence,
0.828 as a fraction is 207/250.
Converting decimals like 0.828 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.828 to fraction form. In this case, 0.828 can be recognized as 828 thousandths. So, the fraction form of 0.828 is 828/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 828/1000 in its simplest form.