Adding Fractions: Calculate 2/5 + 3/4 in Paper Usage Problem

To solve this problem, we will add the fractions representing the amount of paper Daniel uses:

• Step 1: Identify the fractions of the paper roll used.
  Daniel uses $\frac{2}{5}$ of the roll for the book and $\frac{3}{4}$ for the notebook.
• Step 2: Find a common denominator.
  The denominators are 5 and 4. The least common multiple of 5 and 4 is 20. Hence, the common denominator will be 20.
• Step 3: Convert each fraction to have this common denominator.
  • For $\frac{2}{5}$, convert it to $\frac{2}{5} \times \frac{4}{4} = \frac{8}{20}$.
  • For $\frac{3}{4}$, convert it to $\frac{3}{4} \times \frac{5}{5} = \frac{15}{20}$.
• Step 4: Add the two fractions.
  Add $\frac{8}{20} + \frac{15}{20} = \frac{23}{20}$.
• Step 5: Interpret the result.
  The result $\frac{23}{20}$ implies that Daniel used more than one whole roll, specifically $\frac{23}{20}$ of the paper roll in total.

Therefore, the solution to the problem is $\frac{23}{20}$.