How to convert 582.5416125 as a fraction

Question: What is 582.5416125 as a fraction?


Answer: 582.5416125 as a fraction is 13981/24


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How to convert 582.5416125 as a fraction?

Solution:582.5416125 as a fraction is 13981/24

Step 1:

The first step to converting 582.5416125 to a fraction is to re-write 582.5416125 in the form p/q where p and q are both positive integers. To start with, 582.5416125 can be written as simply 582.5416125/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 582.5416125, which in this case is 7. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 582.5416125/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 582.5416125/1 each by 10000000:

5825416125/10 / 10000000/10 = 5825416125 / 10000000

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 582.5416125 as a fraction:

13981/24 / 1

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