What is 0.836 as a fraction?
0.836 as a fraction is 836/1000 and its simplest form is 209/250.
Learn how to find what is 0.836 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 0.836 in its equivalent fraction form. It is required to recognize the decimal point 0.836 as 836 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.836 as a fraction and how it can be found easily.
Summary: 0.836 in fraction form
0.836 can be recognized as 836 thousandths, which can be represented as 836/1000 in fraction form. The simplest form of 836/1000 is 209/250. Therefore, 0.836 as a fraction is 209/250.
Write 0.836 as a fraction in simplest form.
0.836 = (?)
0.836 = 0.836/1
= (0.836/1) x (1000/1000) //0.836 can be recognized as 836 thousandths.
= 836/1000 //836 thousandths is equal to 836/1000 and it can be simplified further.
= (836/4)/(1000/4) //4 is the GCF of 836 and 1000. Divide both 836 and 1000 by the GCF 4 to simplify the fraction.
= 209/250
0.836 = 209/250
0.836 in its simplest fraction form is 209/250.
So, what is the fraction of 0.836?
It is 836/1000 in fraction. To simplify 836/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 836 by 4 gives 209,
and dividing 1000 by 4 gives 250. Thus, 836/1000 simplifies to 209/250
Refer to the step by step work further to learn how to find what is 0.836 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.836
What to be found:
What is 0.836 as a fraction in simplest form?
step 2 Write 0.836 as a simple fraction.
0.836/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.836/1.
Since the decimal 0.836 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.836/1 to make numerator as a whole number.
(0.836 x 1000)/(1 x 1000) = 836/1000
step 4
836 thousandths is the fraction form of 0.836, however, it can be reduced further. To simplify 836/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 836 and 1000 cancel each other.
836/1000 = (4 x 209)/(4 x 250)
= 209/250
836/1000 = 209/250
Hence,
0.836 as a fraction is 209/250.
Converting decimals like 0.836 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.836 to fraction form. In this case, 0.836 can be recognized as 836 thousandths. So, the fraction form of 0.836 is 836/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 836/1000 in its simplest form.