How to convert 3.95788421401 as a fraction

Question: What is 3.95788421401 as a fraction?


Answer: 3.95788421401 as a fraction is 3665/926


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How to convert 3.95788421401 as a fraction?

Solution:3.95788421401 as a fraction is 3665/926

Step 1:

The first step to converting 3.95788421401 to a fraction is to re-write 3.95788421401 in the form p/q where p and q are both positive integers. To start with, 3.95788421401 can be written as simply 3.95788421401/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3.95788421401, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.95788421401/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3.95788421401/1 each by 100000000000:

395788421401/10 / 100000000000/10 = 395788421401 / 100000000000

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 3.95788421401 as a fraction:

3665/926 / 1

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