How to convert 2.21306818 as a fraction

Question: What is 2.21306818 as a fraction?


Answer: 2.21306818 as a fraction is 779/352


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How to convert 2.21306818 as a fraction?

Solution:2.21306818 as a fraction is 779/352

Step 1:

The first step to converting 2.21306818 to a fraction is to re-write 2.21306818 in the form p/q where p and q are both positive integers. To start with, 2.21306818 can be written as simply 2.21306818/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 2.21306818, which in this case is 8. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 2.21306818/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 2.21306818/1 each by 100000000:

221306818/10 / 100000000/10 = 221306818 / 100000000

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 2.21306818 as a fraction:

779/352 / 1

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