How to convert 82.956362509202 as a fraction

Question: What is 82.956362509202 as a fraction?


Answer: 82.956362509202 as a fraction is 20905/252


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How to convert 82.956362509202 as a fraction?

Solution:82.956362509202 as a fraction is 20905/252

Step 1:

The first step to converting 82.956362509202 to a fraction is to re-write 82.956362509202 in the form p/q where p and q are both positive integers. To start with, 82.956362509202 can be written as simply 82.956362509202/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 82.956362509202, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 82.956362509202/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 82.956362509202/1 each by 1000000000000:

82956362509202/10 / 1000000000000/10 = 82956362509202 / 1000000000000

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 82.956362509202 as a fraction:

20905/252 / 1

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