How to convert 21.165845654296 as a fraction

Question: What is 21.165845654296 as a fraction?


Answer: 21.165845654296 as a fraction is 4212/199


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How to convert 21.165845654296 as a fraction?

Solution:21.165845654296 as a fraction is 4212/199

Step 1:

The first step to converting 21.165845654296 to a fraction is to re-write 21.165845654296 in the form p/q where p and q are both positive integers. To start with, 21.165845654296 can be written as simply 21.165845654296/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 21.165845654296, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 21.165845654296/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 21.165845654296/1 each by 1000000000000:

21165845654296/10 / 1000000000000/10 = 21165845654296 / 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 21.165845654296 as a fraction:

4212/199 / 1

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