To simplify a fraction, you need to identify any common factors. In this case, both numerator and denominator are even so we can divide top and bottom by 2. Doing this gives us 18/39. Both these numbers can divide by 3, so do this and we get 6/13. 13 is a prime number, and so we cannot simplify any further. Thus 36/78 in its simplest form is 6/13.
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It is already in its lowest terms
6/78 = 1/13.
9.78 in a mixed number is 9 78/100. In its lowest term, it is 9 39/50.
13*6 = 78 so 13/78 = 1/6
2.1667