How to convert 304.40414142588 as a fraction

Question: What is 304.40414142588 as a fraction?


Answer: 304.40414142588 as a fraction is 14307/47


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How to convert 304.40414142588 as a fraction?

Solution:304.40414142588 as a fraction is 14307/47

Step 1:

The first step to converting 304.40414142588 to a fraction is to re-write 304.40414142588 in the form p/q where p and q are both positive integers. To start with, 304.40414142588 can be written as simply 304.40414142588/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 304.40414142588, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 304.40414142588/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 304.40414142588/1 each by 100000000000:

30440414142588/10 / 100000000000/10 = 30440414142588 / 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 304.40414142588 as a fraction:

14307/47 / 1

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