How to convert 724.20828039464 as a fraction

Question: What is 724.20828039464 as a fraction?


Answer: 724.20828039464 as a fraction is 17381/24


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How to convert 724.20828039464 as a fraction?

Solution:724.20828039464 as a fraction is 17381/24

Step 1:

The first step to converting 724.20828039464 to a fraction is to re-write 724.20828039464 in the form p/q where p and q are both positive integers. To start with, 724.20828039464 can be written as simply 724.20828039464/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 724.20828039464, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 724.20828039464/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 724.20828039464/1 each by 100000000000:

72420828039464/10 / 100000000000/10 = 72420828039464 / 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 724.20828039464 as a fraction:

17381/24 / 1

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