How to convert 3689.005 as a fraction

Question: What is 3689.005 as a fraction?


Answer: 3689.005 as a fraction is 734112/199


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How to convert 3689.005 as a fraction?

Solution:3689.005 as a fraction is 734112/199

Step 1:

The first step to converting 3689.005 to a fraction is to re-write 3689.005 in the form p/q where p and q are both positive integers. To start with, 3689.005 can be written as simply 3689.005/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3689.005, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3689.005/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3689.005/1 each by 1000:

3689005/10 / 1000/10 = 3689005 / 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 3689.005 as a fraction:

734112/199 / 1

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