How to convert 3996.404 as a fraction

Question: What is 3996.404 as a fraction?


Answer: 3996.404 as a fraction is 187831/47


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How to convert 3996.404 as a fraction?

Solution:3996.404 as a fraction is 187831/47

Step 1:

The first step to converting 3996.404 to a fraction is to re-write 3996.404 in the form p/q where p and q are both positive integers. To start with, 3996.404 can be written as simply 3996.404/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3996.404, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3996.404/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3996.404/1 each by 1000:

3996404/10 / 1000/10 = 3996404 / 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 3996.404 as a fraction:

187831/47 / 1

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