How to convert 3962.419 as a fraction

Question: What is 3962.419 as a fraction?


Answer: 3962.419 as a fraction is 47549/12


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How to convert 3962.419 as a fraction?

Solution:3962.419 as a fraction is 47549/12

Step 1:

The first step to converting 3962.419 to a fraction is to re-write 3962.419 in the form p/q where p and q are both positive integers. To start with, 3962.419 can be written as simply 3962.419/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3962.419, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3962.419/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3962.419/1 each by 1000:

3962419/10 / 1000/10 = 3962419 / 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 3962.419 as a fraction:

47549/12 / 1

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