How to convert 8.22569710361 as a fraction

Question: What is 8.22569710361 as a fraction?


Answer: 8.22569710361 as a fraction is 2369/288


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How to convert 8.22569710361 as a fraction?

Solution:8.22569710361 as a fraction is 2369/288

Step 1:

The first step to converting 8.22569710361 to a fraction is to re-write 8.22569710361 in the form p/q where p and q are both positive integers. To start with, 8.22569710361 can be written as simply 8.22569710361/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 8.22569710361, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 8.22569710361/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 8.22569710361/1 each by 100000000000:

822569710361/10 / 100000000000/10 = 822569710361 / 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 8.22569710361 as a fraction:

2369/288 / 1

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