How to convert 69.58578397683 as a fraction

Question: What is 69.58578397683 as a fraction?


Answer: 69.58578397683 as a fraction is 11760/169


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How to convert 69.58578397683 as a fraction?

Solution:69.58578397683 as a fraction is 11760/169

Step 1:

The first step to converting 69.58578397683 to a fraction is to re-write 69.58578397683 in the form p/q where p and q are both positive integers. To start with, 69.58578397683 can be written as simply 69.58578397683/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 69.58578397683, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 69.58578397683/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 69.58578397683/1 each by 100000000000:

6958578397683/10 / 100000000000/10 = 6958578397683 / 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 69.58578397683 as a fraction:

11760/169 / 1

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