How to convert 768.95726561973 as a fraction

Question: What is 768.95726561973 as a fraction?


Answer: 768.95726561973 as a fraction is 17686/23


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How to convert 768.95726561973 as a fraction?

Solution:768.95726561973 as a fraction is 17686/23

Step 1:

The first step to converting 768.95726561973 to a fraction is to re-write 768.95726561973 in the form p/q where p and q are both positive integers. To start with, 768.95726561973 can be written as simply 768.95726561973/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 768.95726561973, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 768.95726561973/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 768.95726561973/1 each by 100000000000:

76895726561973/10 / 100000000000/10 = 76895726561973 / 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 768.95726561973 as a fraction:

17686/23 / 1

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