How to convert 3985.689 as a fraction

Question: What is 3985.689 as a fraction?


Answer: 3985.689 as a fraction is 51814/13


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How to convert 3985.689 as a fraction?

Solution:3985.689 as a fraction is 51814/13

Step 1:

The first step to converting 3985.689 to a fraction is to re-write 3985.689 in the form p/q where p and q are both positive integers. To start with, 3985.689 can be written as simply 3985.689/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3985.689, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3985.689/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3985.689/1 each by 1000:

3985689/10 / 1000/10 = 3985689 / 1000

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 3985.689 as a fraction:

51814/13 / 1

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