How to convert 2204.3825 as a fraction

Question: What is 2204.3825 as a fraction?


Answer: 2204.3825 as a fraction is 28657/13


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How to convert 2204.3825 as a fraction?

Solution:2204.3825 as a fraction is 28657/13

Step 1:

The first step to converting 2204.3825 to a fraction is to re-write 2204.3825 in the form p/q where p and q are both positive integers. To start with, 2204.3825 can be written as simply 2204.3825/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 2204.3825, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 2204.3825/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 2204.3825/1 each by 10000:

22043825/10 / 10000/10 = 22043825 / 10000

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 2204.3825 as a fraction:

28657/13 / 1

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