How to convert 409.93535705909 as a fraction

Question: What is 409.93535705909 as a fraction?


Answer: 409.93535705909 as a fraction is 12708/31


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How to convert 409.93535705909 as a fraction?

Solution:409.93535705909 as a fraction is 12708/31

Step 1:

The first step to converting 409.93535705909 to a fraction is to re-write 409.93535705909 in the form p/q where p and q are both positive integers. To start with, 409.93535705909 can be written as simply 409.93535705909/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 409.93535705909, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 409.93535705909/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 409.93535705909/1 each by 100000000000:

40993535705909/10 / 100000000000/10 = 40993535705909 / 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 409.93535705909 as a fraction:

12708/31 / 1

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