How to convert 22.21843748875 as a fraction

Question: What is 22.21843748875 as a fraction?


Answer: 22.21843748875 as a fraction is 4577/206


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How to convert 22.21843748875 as a fraction?

Solution:22.21843748875 as a fraction is 4577/206

Step 1:

The first step to converting 22.21843748875 to a fraction is to re-write 22.21843748875 in the form p/q where p and q are both positive integers. To start with, 22.21843748875 can be written as simply 22.21843748875/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 22.21843748875, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 22.21843748875/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 22.21843748875/1 each by 100000000000:

2221843748875/10 / 100000000000/10 = 2221843748875 / 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 22.21843748875 as a fraction:

4577/206 / 1

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