How to convert 765.354401875 as a fraction

Question: What is 765.354401875 as a fraction?


Answer: 765.354401875 as a fraction is 23726/31


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How to convert 765.354401875 as a fraction?

Solution:765.354401875 as a fraction is 23726/31

Step 1:

The first step to converting 765.354401875 to a fraction is to re-write 765.354401875 in the form p/q where p and q are both positive integers. To start with, 765.354401875 can be written as simply 765.354401875/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 765.354401875, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 765.354401875/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 765.354401875/1 each by 1000000000:

765354401875/10 / 1000000000/10 = 765354401875 / 1000000000

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 765.354401875 as a fraction:

23726/31 / 1

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