How to convert 829.729630538 as a fraction

Question: What is 829.729630538 as a fraction?


Answer: 829.729630538 as a fraction is 30700/37


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How to convert 829.729630538 as a fraction?

Solution:829.729630538 as a fraction is 30700/37

Step 1:

The first step to converting 829.729630538 to a fraction is to re-write 829.729630538 in the form p/q where p and q are both positive integers. To start with, 829.729630538 can be written as simply 829.729630538/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 829.729630538, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 829.729630538/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 829.729630538/1 each by 1000000000:

829729630538/10 / 1000000000/10 = 829729630538 / 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 829.729630538 as a fraction:

30700/37 / 1

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