Define a#b as the arithmetic mean of a and b. What is the value of ((1#2)#2)#4? Express your answer as a common fraction.

Question

The hashtag is just a sign. Thank you!

Answer 1

so a#b =(a+b)/2

then

((1#2)#2)#4
= (1.5#2)#4
= 1.75#4
= 2.875
or
= 23/8

or

((1#2)#2)#4
= (3/2#2)#4
= (7/4)#4
= 23/8