How to convert 3728.460218442 as a fraction

Question: What is 3728.460218442 as a fraction?


Answer: 3728.460218442 as a fraction is 48470/13


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How to convert 3728.460218442 as a fraction?

Solution:3728.460218442 as a fraction is 48470/13

Step 1:

The first step to converting 3728.460218442 to a fraction is to re-write 3728.460218442 in the form p/q where p and q are both positive integers. To start with, 3728.460218442 can be written as simply 3728.460218442/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3728.460218442, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3728.460218442/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3728.460218442/1 each by 1000000000:

3728460218442/10 / 1000000000/10 = 3728460218442 / 1000000000

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 3728.460218442 as a fraction:

48470/13 / 1

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