What is the solution for the expression a/b + c if a/b = 4 and b/c = 2?

To solve the expression ( a/b + c ) given the conditions ( a/b = 4 ) and ( b/c = 2 ), we can first express ( a ) and ( c ) in terms of ( b ).

Starting with the information that ( a/b = 4 ), we can infer that ( a = 4b ).

Next, from the equation ( b/c = 2 ), we can rearrange this to express ( c ) in terms of ( b ): [ c = b/2. ]

Now, substituting these expressions into the original equation ( a/b + c ): [ a/b + c = 4 + (b/2). ]

To add these together, we need a common denominator. The term ( 4 ) can be rewritten as ( 8/2 ): [ 4 = \frac{8}{2}. ]

Combining these gives: [ \frac{8}{2} + \frac{b}{2} = \frac{8 + b}{2}. ]

Now, we need to determine the value of ( b ). From ( b/c = 2 ), we