How to convert 1164.583198342 as a fraction

Question: What is 1164.583198342 as a fraction?


Answer: 1164.583198342 as a fraction is 13975/12


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How to convert 1164.583198342 as a fraction?

Solution:1164.583198342 as a fraction is 13975/12

Step 1:

The first step to converting 1164.583198342 to a fraction is to re-write 1164.583198342 in the form p/q where p and q are both positive integers. To start with, 1164.583198342 can be written as simply 1164.583198342/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1164.583198342, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1164.583198342/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1164.583198342/1 each by 1000000000:

1164583198342/10 / 1000000000/10 = 1164583198342 / 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 1164.583198342 as a fraction:

13975/12 / 1

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