The problem provided asks for the total distance around the workbook, which is essentially asking for the perimeter of the rectangle formed by the workbook's dimensions. The workbook dimensions are given as:

• Length: $27 \frac{7}{8}$ cm
• Width: $21 \frac{1}{2}$ cm

To find the perimeter of a rectangle, the formula is:

$P = 2 \times (\text{length} + \text{width})$

Step 1: Convert mixed fractions to improper fractions

First, convert both the mixed numbers into improper fractions:

$27 \frac{7}{8} = \frac{27 \times 8 + 7}{8} = \frac{216 + 7}{8} = \frac{223}{8}$

$21 \frac{1}{2} = \frac{21 \times 2 + 1}{2} = \frac{42 + 1}{2} = \frac{43}{2}$

Step 2: Add the dimensions

Now, we need to add the two dimensions, but first, let's express both fractions with a common denominator of 8:

$\frac{43}{2} = \frac{43 \times 4}{2 \times 4} = \frac{172}{8}$

Now, add the two dimensions:

$\frac{223}{8} + \frac{172}{8} = \frac{223 + 172}{8} = \frac{395}{8}$

Step 3: Calculate the perimeter

Now, multiply the sum by 2 to find the perimeter:

$P = 2 \times \frac{395}{8} = \frac{790}{8} = 98.75 \text{ cm}$

Final Answer:

The total distance around each page of the workbook is 98.75 cm.

Would you like more details or have any further questions? Here are five related questions to expand your understanding:

1. How do you convert between mixed fractions and improper fractions?
2. Can you use this method to find the perimeter of any rectangle?
3. What is the perimeter formula for other shapes like triangles or circles?
4. How do you simplify improper fractions to their decimal forms?
5. How does changing the units (e.g., from cm to meters) affect perimeter calculations?

Tip: Always simplify fractions before performing operations to make calculations easier!