How to convert 224.30821094774 as a fraction

Question: What is 224.30821094774 as a fraction?


Answer: 224.30821094774 as a fraction is 32749/146


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How to convert 224.30821094774 as a fraction?

Solution:224.30821094774 as a fraction is 32749/146

Step 1:

The first step to converting 224.30821094774 to a fraction is to re-write 224.30821094774 in the form p/q where p and q are both positive integers. To start with, 224.30821094774 can be written as simply 224.30821094774/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 224.30821094774, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 224.30821094774/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 224.30821094774/1 each by 100000000000:

22430821094774/10 / 100000000000/10 = 22430821094774 / 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 224.30821094774 as a fraction:

32749/146 / 1

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