What is 0.832 as a fraction?
0.832 as a fraction is 832/1000 and its simplest form is 104/125.
Learn how to find what is 0.832 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 0.832 in its equivalent fraction form. It is required to recognize the decimal point 0.832 as 832 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.832 as a fraction and how it can be found easily.
Summary: 0.832 in fraction form
0.832 can be recognized as 832 thousandths, which can be represented as 832/1000 in fraction form. The simplest form of 832/1000 is 104/125. Therefore, 0.832 as a fraction is 104/125.
Write 0.832 as a fraction in simplest form.
0.832 = (?)
0.832 = 0.832/1
= (0.832/1) x (1000/1000) //0.832 can be recognized as 832 thousandths.
= 832/1000 //832 thousandths is equal to 832/1000 and it can be simplified further.
= (832/8)/(1000/8) //8 is the GCF of 832 and 1000. Divide both 832 and 1000 by the GCF 8 to simplify the fraction.
= 104/125
0.832 = 104/125
0.832 in its simplest fraction form is 104/125.
So, what is the fraction of 0.832?
It is 832/1000 in fraction. To simplify 832/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 832 by 8 gives 104,
and dividing 1000 by 8 gives 125. Thus, 832/1000 simplifies to 104/125
Refer to the step by step work further to learn how to find what is 0.832 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.832
What to be found:
What is 0.832 as a fraction in simplest form?
step 2 Write 0.832 as a simple fraction.
0.832/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.832/1.
Since the decimal 0.832 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.832/1 to make numerator as a whole number.
(0.832 x 1000)/(1 x 1000) = 832/1000
step 4
832 thousandths is the fraction form of 0.832, however, it can be reduced further. To simplify 832/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 832 and 1000 cancel each other.
832/1000 = (8 x 104)/(8 x 125)
= 104/125
832/1000 = 104/125
Hence,
0.832 as a fraction is 104/125.
Converting decimals like 0.832 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.832 to fraction form. In this case, 0.832 can be recognized as 832 thousandths. So, the fraction form of 0.832 is 832/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 832/1000 in its simplest form.