How to convert 509.42778289705 as a fraction

Question: What is 509.42778289705 as a fraction?


Answer: 509.42778289705 as a fraction is 91697/180


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How to convert 509.42778289705 as a fraction?

Solution:509.42778289705 as a fraction is 91697/180

Step 1:

The first step to converting 509.42778289705 to a fraction is to re-write 509.42778289705 in the form p/q where p and q are both positive integers. To start with, 509.42778289705 can be written as simply 509.42778289705/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 509.42778289705, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 509.42778289705/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 509.42778289705/1 each by 100000000000:

50942778289705/10 / 100000000000/10 = 50942778289705 / 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 509.42778289705 as a fraction:

91697/180 / 1

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