How to convert 3721.755 as a fraction

Question: What is 3721.755 as a fraction?


Answer: 3721.755 as a fraction is 182366/49


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How to convert 3721.755 as a fraction?

Solution:3721.755 as a fraction is 182366/49

Step 1:

The first step to converting 3721.755 to a fraction is to re-write 3721.755 in the form p/q where p and q are both positive integers. To start with, 3721.755 can be written as simply 3721.755/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3721.755, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3721.755/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3721.755/1 each by 1000:

3721755/10 / 1000/10 = 3721755 / 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 3721.755 as a fraction:

182366/49 / 1

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