How to convert 509.9782707334 as a fraction

Question: What is 509.9782707334 as a fraction?


Answer: 509.9782707334 as a fraction is 23459/46


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How to convert 509.9782707334 as a fraction?

Solution:509.9782707334 as a fraction is 23459/46

Step 1:

The first step to converting 509.9782707334 to a fraction is to re-write 509.9782707334 in the form p/q where p and q are both positive integers. To start with, 509.9782707334 can be written as simply 509.9782707334/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 509.9782707334, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 509.9782707334/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 509.9782707334/1 each by 10000000000:

5099782707334/10 / 10000000000/10 = 5099782707334 / 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 509.9782707334 as a fraction:

23459/46 / 1

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