How to convert 365.43507870766 as a fraction

Question: What is 365.43507870766 as a fraction?


Answer: 365.43507870766 as a fraction is 8405/23


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How to convert 365.43507870766 as a fraction?

Solution:365.43507870766 as a fraction is 8405/23

Step 1:

The first step to converting 365.43507870766 to a fraction is to re-write 365.43507870766 in the form p/q where p and q are both positive integers. To start with, 365.43507870766 can be written as simply 365.43507870766/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 365.43507870766, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 365.43507870766/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 365.43507870766/1 each by 100000000000:

36543507870766/10 / 100000000000/10 = 36543507870766 / 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 365.43507870766 as a fraction:

8405/23 / 1

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