How to convert 440.7872 as a fraction

Question: What is 440.7872 as a fraction?


Answer: 440.7872 as a fraction is 20717/47


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How to convert 440.7872 as a fraction?

Solution:440.7872 as a fraction is 20717/47

Step 1:

The first step to converting 440.7872 to a fraction is to re-write 440.7872 in the form p/q where p and q are both positive integers. To start with, 440.7872 can be written as simply 440.7872/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 440.7872, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 440.7872/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 440.7872/1 each by 10000:

4407872/10 / 10000/10 = 4407872 / 10000

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 440.7872 as a fraction:

20717/47 / 1

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