How to convert 822.51724489906 as a fraction

Question: What is 822.51724489906 as a fraction?


Answer: 822.51724489906 as a fraction is 23853/29


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How to convert 822.51724489906 as a fraction?

Solution:822.51724489906 as a fraction is 23853/29

Step 1:

The first step to converting 822.51724489906 to a fraction is to re-write 822.51724489906 in the form p/q where p and q are both positive integers. To start with, 822.51724489906 can be written as simply 822.51724489906/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 822.51724489906, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 822.51724489906/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 822.51724489906/1 each by 100000000000:

82251724489906/10 / 100000000000/10 = 82251724489906 / 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 822.51724489906 as a fraction:

23853/29 / 1

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