How to convert 3972.9144 as a fraction

Question: What is 3972.9144 as a fraction?


Answer: 3972.9144 as a fraction is 47675/12


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How to convert 3972.9144 as a fraction?

Solution:3972.9144 as a fraction is 47675/12

Step 1:

The first step to converting 3972.9144 to a fraction is to re-write 3972.9144 in the form p/q where p and q are both positive integers. To start with, 3972.9144 can be written as simply 3972.9144/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3972.9144, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3972.9144/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3972.9144/1 each by 10000:

39729144/10 / 10000/10 = 39729144 / 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 3972.9144 as a fraction:

47675/12 / 1

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