How to convert 165.83409 as a fraction

Question: What is 165.83409 as a fraction?


Answer: 165.83409 as a fraction is 35986/217


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How to convert 165.83409 as a fraction?

Solution:165.83409 as a fraction is 35986/217

Step 1:

The first step to converting 165.83409 to a fraction is to re-write 165.83409 in the form p/q where p and q are both positive integers. To start with, 165.83409 can be written as simply 165.83409/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 165.83409, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 165.83409/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 165.83409/1 each by 100000:

16583409/10 / 100000/10 = 16583409 / 100000

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 165.83409 as a fraction:

35986/217 / 1

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