To solve the multiplication problem \( 2 \frac{4}{5} \times 7 \), we can follow these steps:

### Step 1: Convert the mixed number to an improper fraction
\( 2 \frac{4}{5} \) can be written as an improper fraction:
\[
2 \frac{4}{5} = \frac{2 \times 5 + 4}{5} = \frac{10 + 4}{5} = \frac{14}{5}
\]

### Step 2: Multiply the improper fraction by 7
Now, multiply \( \frac{14}{5} \times 7 \):
\[
\frac{14}{5} \times 7 = \frac{14 \times 7}{5} = \frac{98}{5}
\]

### Step 3: Convert the improper fraction to a mixed number
To convert \( \frac{98}{5} \) back to a mixed number, divide 98 by 5:
\[
98 \div 5 = 19 \text{ remainder } 3
\]
Thus, \( \frac{98}{5} = 19 \frac{3}{5} \).

### Final Answer:
\[
2 \frac{4}{5} \times 7 = 19 \frac{3}{5}
\]

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:
1. How do you convert a mixed number into an improper fraction?
2. What is the process for multiplying fractions and whole numbers?
3. How do you simplify a fraction after multiplication?
4. Can you explain how to convert an improper fraction back into a mixed number?
5. What are some real-life applications of multiplying mixed numbers?

**Tip:** When multiplying mixed numbers, always convert them to improper fractions first to simplify the calculation.

Learn how to multiply the mixed number 2 4/5 by 7 in this detailed solution. This problem covers key concepts like converting mixed numbers to improper fractions, multiplying fractions, and converting improper fractions to mixed numbers. Suitable for students in Grades 5-7.

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