What is 0.835 as a fraction?
0.835 as a fraction is 835/1000 and its simplest form is 167/200.
Learn how to find what is 0.835 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 0.835 in its equivalent fraction form. It is required to recognize the decimal point 0.835 as 835 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.835 as a fraction and how it can be found easily.
Summary: 0.835 in fraction form
0.835 can be recognized as 835 thousandths, which can be represented as 835/1000 in fraction form. The simplest form of 835/1000 is 167/200. Therefore, 0.835 as a fraction is 167/200.
Write 0.835 as a fraction in simplest form.
0.835 = (?)
0.835 = 0.835/1
= (0.835/1) x (1000/1000) //0.835 can be recognized as 835 thousandths.
= 835/1000 //835 thousandths is equal to 835/1000 and it can be simplified further.
= (835/5)/(1000/5) //5 is the GCF of 835 and 1000. Divide both 835 and 1000 by the GCF 5 to simplify the fraction.
= 167/200
0.835 = 167/200
0.835 in its simplest fraction form is 167/200.
So, what is the fraction of 0.835?
It is 835/1000 in fraction. To simplify 835/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 835 by 5 gives 167,
and dividing 1000 by 5 gives 200. Thus, 835/1000 simplifies to 167/200
Refer to the step by step work further to learn how to find what is 0.835 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.835
What to be found:
What is 0.835 as a fraction in simplest form?
step 2 Write 0.835 as a simple fraction.
0.835/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.835/1.
Since the decimal 0.835 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.835/1 to make numerator as a whole number.
(0.835 x 1000)/(1 x 1000) = 835/1000
step 4
835 thousandths is the fraction form of 0.835, however, it can be reduced further. To simplify 835/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 835 and 1000 cancel each other.
835/1000 = (5 x 167)/(5 x 200)
= 167/200
835/1000 = 167/200
Hence,
0.835 as a fraction is 167/200.
Converting decimals like 0.835 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.835 to fraction form. In this case, 0.835 can be recognized as 835 thousandths. So, the fraction form of 0.835 is 835/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 835/1000 in its simplest form.