How to convert 333.14420625 as a fraction

Question: What is 333.14420625 as a fraction?


Answer: 333.14420625 as a fraction is 34647/104


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How to convert 333.14420625 as a fraction?

Solution:333.14420625 as a fraction is 34647/104

Step 1:

The first step to converting 333.14420625 to a fraction is to re-write 333.14420625 in the form p/q where p and q are both positive integers. To start with, 333.14420625 can be written as simply 333.14420625/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 333.14420625, which in this case is 8. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 333.14420625/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 333.14420625/1 each by 100000000:

33314420625/10 / 100000000/10 = 33314420625 / 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 333.14420625 as a fraction:

34647/104 / 1

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