How to convert 309.50335306469 as a fraction

Question: What is 309.50335306469 as a fraction?


Answer: 309.50335306469 as a fraction is 46116/149


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How to convert 309.50335306469 as a fraction?

Solution:309.50335306469 as a fraction is 46116/149

Step 1:

The first step to converting 309.50335306469 to a fraction is to re-write 309.50335306469 in the form p/q where p and q are both positive integers. To start with, 309.50335306469 can be written as simply 309.50335306469/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 309.50335306469, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 309.50335306469/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 309.50335306469/1 each by 100000000000:

30950335306469/10 / 100000000000/10 = 30950335306469 / 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 309.50335306469 as a fraction:

46116/149 / 1

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