How to convert 20.122360491947 as a fraction

Question: What is 20.122360491947 as a fraction?


Answer: 20.122360491947 as a fraction is 3783/188


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How to convert 20.122360491947 as a fraction?

Solution:20.122360491947 as a fraction is 3783/188

Step 1:

The first step to converting 20.122360491947 to a fraction is to re-write 20.122360491947 in the form p/q where p and q are both positive integers. To start with, 20.122360491947 can be written as simply 20.122360491947/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 20.122360491947, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 20.122360491947/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 20.122360491947/1 each by 1000000000000:

20122360491947/10 / 1000000000000/10 = 20122360491947 / 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 20.122360491947 as a fraction:

3783/188 / 1

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