How to convert 115.23831298827 as a fraction

Question: What is 115.23831298827 as a fraction?


Answer: 115.23831298827 as a fraction is 24661/214


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How to convert 115.23831298827 as a fraction?

Solution:115.23831298827 as a fraction is 24661/214

Step 1:

The first step to converting 115.23831298827 to a fraction is to re-write 115.23831298827 in the form p/q where p and q are both positive integers. To start with, 115.23831298827 can be written as simply 115.23831298827/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 115.23831298827, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 115.23831298827/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 115.23831298827/1 each by 100000000000:

11523831298827/10 / 100000000000/10 = 11523831298827 / 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 115.23831298827 as a fraction:

24661/214 / 1

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