How to convert 512.27135336734 as a fraction

Question: What is 512.27135336734 as a fraction?


Answer: 512.27135336734 as a fraction is 30224/59


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How to convert 512.27135336734 as a fraction?

Solution:512.27135336734 as a fraction is 30224/59

Step 1:

The first step to converting 512.27135336734 to a fraction is to re-write 512.27135336734 in the form p/q where p and q are both positive integers. To start with, 512.27135336734 can be written as simply 512.27135336734/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 512.27135336734, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 512.27135336734/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 512.27135336734/1 each by 100000000000:

51227135336734/10 / 100000000000/10 = 51227135336734 / 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 512.27135336734 as a fraction:

30224/59 / 1

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