How to convert 982.6414062498 as a fraction

Question: What is 982.6414062498 as a fraction?


Answer: 982.6414062498 as a fraction is 38323/39


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How to convert 982.6414062498 as a fraction?

Solution:982.6414062498 as a fraction is 38323/39

Step 1:

The first step to converting 982.6414062498 to a fraction is to re-write 982.6414062498 in the form p/q where p and q are both positive integers. To start with, 982.6414062498 can be written as simply 982.6414062498/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 982.6414062498, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 982.6414062498/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 982.6414062498/1 each by 10000000000:

9826414062498/10 / 10000000000/10 = 9826414062498 / 10000000000

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 982.6414062498 as a fraction:

38323/39 / 1

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