How to convert 82.526657845418 as a fraction

Question: What is 82.526657845418 as a fraction?


Answer: 82.526657845418 as a fraction is 12379/150


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How to convert 82.526657845418 as a fraction?

Solution:82.526657845418 as a fraction is 12379/150

Step 1:

The first step to converting 82.526657845418 to a fraction is to re-write 82.526657845418 in the form p/q where p and q are both positive integers. To start with, 82.526657845418 can be written as simply 82.526657845418/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 82.526657845418, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 82.526657845418/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 82.526657845418/1 each by 1000000000000:

82526657845418/10 / 1000000000000/10 = 82526657845418 / 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 82.526657845418 as a fraction:

12379/150 / 1

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