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Let's solve the problem.

We are asked how many more cakes Isabella sold than Tommy, given the following:

- Tommy sold \( 2 \frac{5}{8} \) cakes.
- Isabella sold \( 8 \frac{3}{4} \) cakes.

### Step 1: Convert both mixed numbers to improper fractions.

1. **Tommy's cakes:**
   \[
   2 \frac{5}{8} = \frac{2 \times 8 + 5}{8} = \frac{16 + 5}{8} = \frac{21}{8}
   \]

2. **Isabella's cakes:**
   \[
   8 \frac{3}{4} = \frac{8 \times 4 + 3}{4} = \frac{32 + 3}{4} = \frac{35}{4}
   \]

### Step 2: Subtract the two fractions.
Now, we need to find how many more cakes Isabella sold, so we subtract Tommy's total from Isabella's total:
\[
\frac{35}{4} - \frac{21}{8}
\]

First, find a common denominator. The least common denominator (LCD) of 4 and 8 is 8. Rewrite the fractions:
\[
\frac{35}{4} = \frac{70}{8}
\]
Now subtract:
\[
\frac{70}{8} - \frac{21}{8} = \frac{70 - 21}{8} = \frac{49}{8}
\]

### Step 3: Convert the improper fraction \( \frac{49}{8} \) to a mixed number.
\[
\frac{49}{8} = 6 \frac{1}{8}
\]

So, Isabella sold **6 \(\frac{1}{8}\)** more cakes than Tommy.

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Would you like more details or have any questions?

### Related Questions:
1. How do you subtract mixed numbers without converting to improper fractions?
2. What is the method to find the least common denominator for any two fractions?
3. How do you convert improper fractions to mixed numbers step by step?
4. Can you explain why it's necessary to find a common denominator when subtracting fractions?
5. How do you check if a fraction is in its simplest form?

### Tip:
When working with mixed numbers, it's often easier to convert them into improper fractions first to simplify addition or subtraction.

Slices of cake were sold at a bake sale. In total, Tommy sold 2 5/8 cakes and Isabella sold 8 3/4 cakes. How many more cakes than Tommy did Isabella sell? Give your answer as a mixed number in its simplest form.

Learn how to find the difference between the mixed numbers 2 5/8 and 8 3/4 with a step-by-step solution. This guide covers converting mixed numbers to improper fractions, finding a common denominator, and simplifying the result to a mixed number. Suitable for students in Grades 5-7.

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