How to convert 3726.205 as a fraction

Question: What is 3726.205 as a fraction?


Answer: 3726.205 as a fraction is 145322/39


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How to convert 3726.205 as a fraction?

Solution:3726.205 as a fraction is 145322/39

Step 1:

The first step to converting 3726.205 to a fraction is to re-write 3726.205 in the form p/q where p and q are both positive integers. To start with, 3726.205 can be written as simply 3726.205/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3726.205, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3726.205/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3726.205/1 each by 1000:

3726205/10 / 1000/10 = 3726205 / 1000

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 3726.205 as a fraction:

145322/39 / 1

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