How to convert 513.42218814919 as a fraction

Question: What is 513.42218814919 as a fraction?


Answer: 513.42218814919 as a fraction is 23104/45


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How to convert 513.42218814919 as a fraction?

Solution:513.42218814919 as a fraction is 23104/45

Step 1:

The first step to converting 513.42218814919 to a fraction is to re-write 513.42218814919 in the form p/q where p and q are both positive integers. To start with, 513.42218814919 can be written as simply 513.42218814919/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 513.42218814919, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 513.42218814919/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 513.42218814919/1 each by 100000000000:

51342218814919/10 / 100000000000/10 = 51342218814919 / 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 513.42218814919 as a fraction:

23104/45 / 1

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