Final answer:
Karim drank \(1\frac{1}{3}\) cups of milk after breakfast. The equation \(m + 1 = 2\frac{1}{3}\) represents the amount he drank after breakfast, with \(m\) being the variable for the amount of milk.
Step-by-step explanation:
Karim began his day by drinking 1 cup of milk at breakfast and ended the day with a total of 2\(\frac{1}{3}\) cups of milk. To determine the amount of milk m he drank after breakfast, we need to subtract the 1 cup he drank at breakfast from the total amount he drank throughout the day.
The equation would be:
\(m + 1 = 2\frac{1}{3}\)
To solve for m, subtract 1 cup from both sides of the equation:
\(m = 2\frac{1}{3} - 1\)
\(m = 1\frac{1}{3}\)
Thus, Karim drank 1\(\frac{1}{3}\) cups of milk after breakfast.