How to convert 3999.724 as a fraction

Question: What is 3999.724 as a fraction?


Answer: 3999.724 as a fraction is 43997/11


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How to convert 3999.724 as a fraction?

Solution:3999.724 as a fraction is 43997/11

Step 1:

The first step to converting 3999.724 to a fraction is to re-write 3999.724 in the form p/q where p and q are both positive integers. To start with, 3999.724 can be written as simply 3999.724/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3999.724, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3999.724/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3999.724/1 each by 1000:

3999724/10 / 1000/10 = 3999724 / 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 3999.724 as a fraction:

43997/11 / 1

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