How to convert 11686.980724162 as a fraction

Question: What is 11686.980724162 as a fraction?


Answer: 11686.980724162 as a fraction is 596036/51


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How to convert 11686.980724162 as a fraction?

Solution:11686.980724162 as a fraction is 596036/51

Step 1:

The first step to converting 11686.980724162 to a fraction is to re-write 11686.980724162 in the form p/q where p and q are both positive integers. To start with, 11686.980724162 can be written as simply 11686.980724162/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 11686.980724162, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 11686.980724162/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 11686.980724162/1 each by 1000000000:

11686980724162/10 / 1000000000/10 = 11686980724162 / 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 11686.980724162 as a fraction:

596036/51 / 1

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