How to convert 3729.920425123 as a fraction

Question: What is 3729.920425123 as a fraction?


Answer: 3729.920425123 as a fraction is 48489/13


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How to convert 3729.920425123 as a fraction?

Solution:3729.920425123 as a fraction is 48489/13

Step 1:

The first step to converting 3729.920425123 to a fraction is to re-write 3729.920425123 in the form p/q where p and q are both positive integers. To start with, 3729.920425123 can be written as simply 3729.920425123/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3729.920425123, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3729.920425123/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3729.920425123/1 each by 1000000000:

3729920425123/10 / 1000000000/10 = 3729920425123 / 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 3729.920425123 as a fraction:

48489/13 / 1

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