How to convert 3977.535 as a fraction

Question: What is 3977.535 as a fraction?


Answer: 3977.535 as a fraction is 51708/13


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How to convert 3977.535 as a fraction?

Solution:3977.535 as a fraction is 51708/13

Step 1:

The first step to converting 3977.535 to a fraction is to re-write 3977.535 in the form p/q where p and q are both positive integers. To start with, 3977.535 can be written as simply 3977.535/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3977.535, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3977.535/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3977.535/1 each by 1000:

3977535/10 / 1000/10 = 3977535 / 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 3977.535 as a fraction:

51708/13 / 1

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