How to convert 459.65882812498 as a fraction

Question: What is 459.65882812498 as a fraction?


Answer: 459.65882812498 as a fraction is 18846/41


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How to convert 459.65882812498 as a fraction?

Solution:459.65882812498 as a fraction is 18846/41

Step 1:

The first step to converting 459.65882812498 to a fraction is to re-write 459.65882812498 in the form p/q where p and q are both positive integers. To start with, 459.65882812498 can be written as simply 459.65882812498/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 459.65882812498, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 459.65882812498/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 459.65882812498/1 each by 100000000000:

45965882812498/10 / 100000000000/10 = 45965882812498 / 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 459.65882812498 as a fraction:

18846/41 / 1

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