How to convert 165.21761345518 as a fraction

Question: What is 165.21761345518 as a fraction?


Answer: 165.21761345518 as a fraction is 31887/193


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How to convert 165.21761345518 as a fraction?

Solution:165.21761345518 as a fraction is 31887/193

Step 1:

The first step to converting 165.21761345518 to a fraction is to re-write 165.21761345518 in the form p/q where p and q are both positive integers. To start with, 165.21761345518 can be written as simply 165.21761345518/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 165.21761345518, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 165.21761345518/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 165.21761345518/1 each by 100000000000:

16521761345518/10 / 100000000000/10 = 16521761345518 / 100000000000

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 165.21761345518 as a fraction:

31887/193 / 1

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