How to convert 828.57724770976 as a fraction

Question: What is 828.57724770976 as a fraction?


Answer: 828.57724770976 as a fraction is 21543/26


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How to convert 828.57724770976 as a fraction?

Solution:828.57724770976 as a fraction is 21543/26

Step 1:

The first step to converting 828.57724770976 to a fraction is to re-write 828.57724770976 in the form p/q where p and q are both positive integers. To start with, 828.57724770976 can be written as simply 828.57724770976/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 828.57724770976, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 828.57724770976/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 828.57724770976/1 each by 100000000000:

82857724770976/10 / 100000000000/10 = 82857724770976 / 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 828.57724770976 as a fraction:

21543/26 / 1

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