Line Plots · Superchallenge problem

A line plot has marks at $\dfrac{1}{8}, \dfrac{2}{8}, \dfrac{3}{8}, \dfrac{4}{8}, \dfrac{5}{8}, \dfrac{6}{8}, \dfrac{7}{8}, 1$ (in inches) and exactly one X above each mark. Each X is a paper strip of that length. What is the fewest X's you can erase so that the strips left over add up to exactly $2$ inches?