How to convert 8966.509 as a fraction

Question: What is 8966.509 as a fraction?


Answer: 8966.509 as a fraction is 493158/55


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How to convert 8966.509 as a fraction?

Solution:8966.509 as a fraction is 493158/55

Step 1:

The first step to converting 8966.509 to a fraction is to re-write 8966.509 in the form p/q where p and q are both positive integers. To start with, 8966.509 can be written as simply 8966.509/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 8966.509, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 8966.509/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 8966.509/1 each by 1000:

8966509/10 / 1000/10 = 8966509 / 1000

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 8966.509 as a fraction:

493158/55 / 1

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