Final answer:
The difference in length between the king size chocolate bar and the regular size bar is -19/3 inches.
Step-by-step explanation:
The difference in length between the king size chocolate bar and the regular size bar is:
11(7)/(9) - 8(8)/(9) = 11(7)/(9) - (8(8)/(9))
To subtract fractions, the denominators must be the same. Since both fractions have a denominator of 9, we can subtract the numerators:
11(7)/(9) - 8(8)/(9) = 11(7 - 8(8))/(9) = 11(7 - 64)/(9)
Now subtract the numerators:
11(7 - 64)/(9) = 11(-57)/(9)
Finally, simplify the fraction:
11(-57)/(9) = -57/9 = -19/3
So, the difference in length between the two bars is -19/3 inches.