Adding Fractions: Calculate 1/6 + 2/3 in Paper Usage Problem

To solve this problem, we'll find out how much of the paper roll Danny used by adding the fractions representing the parts used for the book and notebook covers.

• Step 1: Identify the fractions used.
• Step 2: Determine the common denominator for the fractions $\frac{1}{6}$ and $\frac{2}{3}$.
• Step 3: Convert $\frac{2}{3}$ to the common denominator.
• Step 4: Add the fractions.
• Step 5: Simplify the result if needed.

Let's work through these steps:

Step 1: Danny used the fractions $\frac{1}{6}$ and $\frac{2}{3}$.

Step 2: The denominators are 6 and 3. The least common denominator is 6.

Step 3: Convert $\frac{2}{3}$ to a fraction with a denominator of 6.

$\frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6}$

Step 4: Add the fractions $\frac{1}{6}$ and $\frac{4}{6}$.

$\frac{1}{6} + \frac{4}{6} = \frac{1 + 4}{6} = \frac{5}{6}$

Step 5: The fraction $\frac{5}{6}$ is already in its simplest form.

Therefore, Danny used $\frac{5}{6}$ of the paper roll in total.

The correct answer is $\frac{5}{6}$.