How to convert 365.39378782811 as a fraction

Question: What is 365.39378782811 as a fraction?


Answer: 365.39378782811 as a fraction is 12058/33


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How to convert 365.39378782811 as a fraction?

Solution:365.39378782811 as a fraction is 12058/33

Step 1:

The first step to converting 365.39378782811 to a fraction is to re-write 365.39378782811 in the form p/q where p and q are both positive integers. To start with, 365.39378782811 can be written as simply 365.39378782811/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 365.39378782811, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 365.39378782811/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 365.39378782811/1 each by 100000000000:

36539378782811/10 / 100000000000/10 = 36539378782811 / 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 365.39378782811 as a fraction:

12058/33 / 1

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