how to write this in algebraic expression
1 more than the quotient of n and 2
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You need two numbers to have a quotient. It's either something and nine or nine and something. The quotient of 18 and 9 is 2. Six more than that is 8.
The quotient is the result of dividing two numbers. So 3 doesn't have a quotient unless another number is being involved in the division. The 4 is not that number since it is substracted from the quotient you get afterwards. Examples: 4 less than the quotient of 9 and 3 would be -1 (9/3=3; 3-4=-1) 4 less than the quotient of 6 and 3 would be -2 (6/3=2; 2-4 = -2)
6/n + 2
The answer depends on the sign of the numbers.(1/4) / 2 = 1/8, which is smaller.(-1/4) / 2 = -1/8, which is greater.
it is smaller (1/2)/2=.25