How to convert 1986.3872 as a fraction

Question: What is 1986.3872 as a fraction?


Answer: 1986.3872 as a fraction is 35755/18


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How to convert 1986.3872 as a fraction?

Solution:1986.3872 as a fraction is 35755/18

Step 1:

The first step to converting 1986.3872 to a fraction is to re-write 1986.3872 in the form p/q where p and q are both positive integers. To start with, 1986.3872 can be written as simply 1986.3872/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1986.3872, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1986.3872/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1986.3872/1 each by 10000:

19863872/10 / 10000/10 = 19863872 / 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 1986.3872 as a fraction:

35755/18 / 1

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