How to convert 16.835782407708 as a fraction

Question: What is 16.835782407708 as a fraction?


Answer: 16.835782407708 as a fraction is 5741/341


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How to convert 16.835782407708 as a fraction?

Solution:16.835782407708 as a fraction is 5741/341

Step 1:

The first step to converting 16.835782407708 to a fraction is to re-write 16.835782407708 in the form p/q where p and q are both positive integers. To start with, 16.835782407708 can be written as simply 16.835782407708/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 16.835782407708, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 16.835782407708/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 16.835782407708/1 each by 1000000000000:

16835782407708/10 / 1000000000000/10 = 16835782407708 / 1000000000000

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 16.835782407708 as a fraction:

5741/341 / 1

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