How to convert 16.3842808742 as a fraction

Question: What is 16.3842808742 as a fraction?


Answer: 16.3842808742 as a fraction is 3752/229


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How to convert 16.3842808742 as a fraction?

Solution:16.3842808742 as a fraction is 3752/229

Step 1:

The first step to converting 16.3842808742 to a fraction is to re-write 16.3842808742 in the form p/q where p and q are both positive integers. To start with, 16.3842808742 can be written as simply 16.3842808742/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 16.3842808742, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 16.3842808742/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 16.3842808742/1 each by 10000000000:

163842808742/10 / 10000000000/10 = 163842808742 / 10000000000

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 16.3842808742 as a fraction:

3752/229 / 1

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