How to convert 3871.12 as a fraction

Question: What is 3871.12 as a fraction?


Answer: 3871.12 as a fraction is 65809/17


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How to convert 3871.12 as a fraction?

Solution:3871.12 as a fraction is 65809/17

Step 1:

The first step to converting 3871.12 to a fraction is to re-write 3871.12 in the form p/q where p and q are both positive integers. To start with, 3871.12 can be written as simply 3871.12/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3871.12, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3871.12/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3871.12/1 each by 100:

387112/10 / 100/10 = 387112 / 100

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 3871.12 as a fraction:

65809/17 / 1

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