How to convert 814.74142284391 as a fraction

Question: What is 814.74142284391 as a fraction?


Answer: 814.74142284391 as a fraction is 21998/27


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How to convert 814.74142284391 as a fraction?

Solution:814.74142284391 as a fraction is 21998/27

Step 1:

The first step to converting 814.74142284391 to a fraction is to re-write 814.74142284391 in the form p/q where p and q are both positive integers. To start with, 814.74142284391 can be written as simply 814.74142284391/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 814.74142284391, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 814.74142284391/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 814.74142284391/1 each by 100000000000:

81474142284391/10 / 100000000000/10 = 81474142284391 / 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 814.74142284391 as a fraction:

21998/27 / 1

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