How to convert 509.9544197752 as a fraction

Question: What is 509.9544197752 as a fraction?


Answer: 509.9544197752 as a fraction is 11219/22


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How to convert 509.9544197752 as a fraction?

Solution:509.9544197752 as a fraction is 11219/22

Step 1:

The first step to converting 509.9544197752 to a fraction is to re-write 509.9544197752 in the form p/q where p and q are both positive integers. To start with, 509.9544197752 can be written as simply 509.9544197752/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 509.9544197752, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 509.9544197752/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 509.9544197752/1 each by 10000000000:

5099544197752/10 / 10000000000/10 = 5099544197752 / 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 509.9544197752 as a fraction:

11219/22 / 1

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