How to convert 785.74902014122 as a fraction

Question: What is 785.74902014122 as a fraction?


Answer: 785.74902014122 as a fraction is 200366/255


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How to convert 785.74902014122 as a fraction?

Solution:785.74902014122 as a fraction is 200366/255

Step 1:

The first step to converting 785.74902014122 to a fraction is to re-write 785.74902014122 in the form p/q where p and q are both positive integers. To start with, 785.74902014122 can be written as simply 785.74902014122/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 785.74902014122, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 785.74902014122/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 785.74902014122/1 each by 100000000000:

78574902014122/10 / 100000000000/10 = 78574902014122 / 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 785.74902014122 as a fraction:

200366/255 / 1

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