How to convert 3.209460454342 as a fraction

Question: What is 3.209460454342 as a fraction?


Answer: 3.209460454342 as a fraction is 475/148


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How to convert 3.209460454342 as a fraction?

Solution:3.209460454342 as a fraction is 475/148

Step 1:

The first step to converting 3.209460454342 to a fraction is to re-write 3.209460454342 in the form p/q where p and q are both positive integers. To start with, 3.209460454342 can be written as simply 3.209460454342/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3.209460454342, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.209460454342/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3.209460454342/1 each by 1000000000000:

3209460454342/10 / 1000000000000/10 = 3209460454342 / 1000000000000

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 3.209460454342 as a fraction:

475/148 / 1

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