How to convert 11755.919824231 as a fraction

Question: What is 11755.919824231 as a fraction?


Answer: 11755.919824231 as a fraction is 141071/12


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How to convert 11755.919824231 as a fraction?

Solution:11755.919824231 as a fraction is 141071/12

Step 1:

The first step to converting 11755.919824231 to a fraction is to re-write 11755.919824231 in the form p/q where p and q are both positive integers. To start with, 11755.919824231 can be written as simply 11755.919824231/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 11755.919824231, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 11755.919824231/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 11755.919824231/1 each by 1000000000:

11755919824231/10 / 1000000000/10 = 11755919824231 / 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 11755.919824231 as a fraction:

141071/12 / 1

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