Question

How do you convert $0.8333$ to fraction?

Answer 1

Hint: To convert .8333 into fraction count the numbers after the point then, the denominator can be calculated by \[{10^n}\] where $n$ is the number of digits after the decimal. Then, we replace the decimal with \[{10^n}\] in the denominator and put its value.

Complete step by step solution:
A decimal fraction can be defined as the fraction in which the denominator of any rational number is in the power of 10 such as 10,100,1000 etc. depending on the number of digits after the decimal. The denominator can be calculated by \[{10^n}\] where $n$ is the number of digits after the decimal.
As it is given in the question, we have to convert .8333 into a fraction. We can also write it as 0.8333 So, there are four digits after the decimal in 0.8333.
Therefore, the denominator can be calculated as –
$ \Rightarrow {10^4} = 10000$
Hence, the number in the denominator will be 10000. So, we have the decimal with 1 in the denominator and write zero for each number after the decimal.
Therefore, the fraction can be written as –
$ \Rightarrow \dfrac{{8333}}{{10000}}$
which is in the fractional form but it should be in the simplest form. So, we will convert the above fraction into its simplest form.
So, find the common factor of 8333 and 10000. Since, there is no common factor for 8333 and 10000 therefore, the fraction, we get –

$ \Rightarrow \dfrac{{8333}}{{10000}}$
Hence, this is the required fraction.

Note:
It is not always necessary that we get the simplest form of the fraction as if in any fraction, there is no common factor between numerator and denominator then, the fraction is already in its simplest form and it cannot be further changed.