How to convert 3749.3859375004 as a fraction

Question: What is 3749.3859375004 as a fraction?


Answer: 3749.3859375004 as a fraction is 48742/13


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How to convert 3749.3859375004 as a fraction?

Solution:3749.3859375004 as a fraction is 48742/13

Step 1:

The first step to converting 3749.3859375004 to a fraction is to re-write 3749.3859375004 in the form p/q where p and q are both positive integers. To start with, 3749.3859375004 can be written as simply 3749.3859375004/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3749.3859375004, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3749.3859375004/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3749.3859375004/1 each by 10000000000:

37493859375004/10 / 10000000000/10 = 37493859375004 / 10000000000

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 3749.3859375004 as a fraction:

48742/13 / 1

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