What is 0.826 as a fraction?
0.826 as a fraction is 826/1000 and its simplest form is 413/500.
Learn how to find what is 0.826 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 0.826 in its equivalent fraction form. It is required to recognize the decimal point 0.826 as 826 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.826 as a fraction and how it can be found easily.
Summary: 0.826 in fraction form
0.826 can be recognized as 826 thousandths, which can be represented as 826/1000 in fraction form. The simplest form of 826/1000 is 413/500. Therefore, 0.826 as a fraction is 413/500.
Write 0.826 as a fraction in simplest form.
0.826 = (?)
0.826 = 0.826/1
= (0.826/1) x (1000/1000) //0.826 can be recognized as 826 thousandths.
= 826/1000 //826 thousandths is equal to 826/1000 and it can be simplified further.
= (826/2)/(1000/2) //2 is the GCF of 826 and 1000. Divide both 826 and 1000 by the GCF 2 to simplify the fraction.
= 413/500
0.826 = 413/500
0.826 in its simplest fraction form is 413/500.
So, what is the fraction of 0.826?
It is 826/1000 in fraction. To simplify 826/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 826 by 2 gives 413,
and dividing 1000 by 2 gives 500. Thus, 826/1000 simplifies to 413/500
Refer to the step by step work further to learn how to find what is 0.826 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.826
What to be found:
What is 0.826 as a fraction in simplest form?
step 2 Write 0.826 as a simple fraction.
0.826/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.826/1.
Since the decimal 0.826 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.826/1 to make numerator as a whole number.
(0.826 x 1000)/(1 x 1000) = 826/1000
step 4
826 thousandths is the fraction form of 0.826, however, it can be reduced further. To simplify 826/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 826 and 1000 cancel each other.
826/1000 = (2 x 413)/(2 x 500)
= 413/500
826/1000 = 413/500
Hence,
0.826 as a fraction is 413/500.
Converting decimals like 0.826 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.826 to fraction form. In this case, 0.826 can be recognized as 826 thousandths. So, the fraction form of 0.826 is 826/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 826/1000 in its simplest form.