How to convert 685.587836523 as a fraction

Question: What is 685.587836523 as a fraction?


Answer: 685.587836523 as a fraction is 11655/17


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How to convert 685.587836523 as a fraction?

Solution:685.587836523 as a fraction is 11655/17

Step 1:

The first step to converting 685.587836523 to a fraction is to re-write 685.587836523 in the form p/q where p and q are both positive integers. To start with, 685.587836523 can be written as simply 685.587836523/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 685.587836523, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 685.587836523/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 685.587836523/1 each by 1000000000:

685587836523/10 / 1000000000/10 = 685587836523 / 1000000000

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 685.587836523 as a fraction:

11655/17 / 1

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