How to convert 894.83871174165 as a fraction

Question: What is 894.83871174165 as a fraction?


Answer: 894.83871174165 as a fraction is 27740/31


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How to convert 894.83871174165 as a fraction?

Solution:894.83871174165 as a fraction is 27740/31

Step 1:

The first step to converting 894.83871174165 to a fraction is to re-write 894.83871174165 in the form p/q where p and q are both positive integers. To start with, 894.83871174165 can be written as simply 894.83871174165/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 894.83871174165, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 894.83871174165/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 894.83871174165/1 each by 100000000000:

89483871174165/10 / 100000000000/10 = 89483871174165 / 100000000000

Step 3:

Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer for 894.83871174165 as a fraction:

27740/31 / 1

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