How to convert 3983.1565 as a fraction

Question: What is 3983.1565 as a fraction?


Answer: 3983.1565 as a fraction is 51781/13


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How to convert 3983.1565 as a fraction?

Solution:3983.1565 as a fraction is 51781/13

Step 1:

The first step to converting 3983.1565 to a fraction is to re-write 3983.1565 in the form p/q where p and q are both positive integers. To start with, 3983.1565 can be written as simply 3983.1565/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3983.1565, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3983.1565/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3983.1565/1 each by 10000:

39831565/10 / 10000/10 = 39831565 / 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 3983.1565 as a fraction:

51781/13 / 1

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