How to convert 772.9152343753 as a fraction

Question: What is 772.9152343753 as a fraction?


Answer: 772.9152343753 as a fraction is 36327/47


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How to convert 772.9152343753 as a fraction?

Solution:772.9152343753 as a fraction is 36327/47

Step 1:

The first step to converting 772.9152343753 to a fraction is to re-write 772.9152343753 in the form p/q where p and q are both positive integers. To start with, 772.9152343753 can be written as simply 772.9152343753/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 772.9152343753, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 772.9152343753/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 772.9152343753/1 each by 10000000000:

7729152343753/10 / 10000000000/10 = 7729152343753 / 10000000000

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 772.9152343753 as a fraction:

36327/47 / 1

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