https://file.aiquickdraw.com/mathbot/file/1725977660644dw1o0vpk.jpg

Let's work through the problems on your image, where you're dividing whole numbers by fractions.

### Key Concept:
Dividing by a fraction is the same as multiplying by its reciprocal. For example:
\[
\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}
\]
So for each problem, we will multiply the whole number by the reciprocal of the fraction.

### Solving each one:

1. **\( 24 \div \frac{3}{8} \)**
   - Reciprocal of \( \frac{3}{8} \) is \( \frac{8}{3} \).
   - So, \( 24 \times \frac{8}{3} = \frac{24 \times 8}{3} = \frac{192}{3} = 64 \).

2. **\( 98 \div \frac{7}{21} \)**
   - Reciprocal of \( \frac{7}{21} \) is \( \frac{21}{7} \).
   - So, \( 98 \times \frac{21}{7} = \frac{98 \times 21}{7} = \frac{2058}{7} = 294 \).

3. **\( 19 \div \frac{1}{5} \)**
   - Reciprocal of \( \frac{1}{5} \) is \( 5 \).
   - So, \( 19 \times 5 = 95 \).

4. **\( 35 \div \frac{1}{5} \)**
   - Reciprocal of \( \frac{1}{5} \) is \( 5 \).
   - So, \( 35 \times 5 = 175 \).

5. **\( 80 \div \frac{2}{8} \)**
   - Reciprocal of \( \frac{2}{8} \) is \( \frac{8}{2} = 4 \).
   - So, \( 80 \times 4 = 320 \).

### Answers:
1. \( 64 \)
2. \( 294 \)
3. \( 95 \)
4. \( 175 \)
5. \( 320 \)

Would you like more details on any of these steps, or do you have any questions?

Here are five related questions for further practice:
1. How do you multiply a fraction by a whole number?
2. What is the general rule for dividing by fractions?
3. How can you simplify fractions before dividing or multiplying?
4. What is the reciprocal of a mixed number?
5. How do you convert improper fractions to mixed numbers after multiplying?

**Tip**: When dividing by fractions, always remember to multiply by the reciprocal of the fraction.

Dividing whole numbers by fractions: 1) 24 ÷ 3/8 2) 98 ÷ 7/21 3) 19 ÷ 1/5 4) 35 ÷ 1/5 5) 80 ÷ 2/8

Learn how to divide whole numbers by fractions with a detailed step-by-step solution. This guide covers key mathematical concepts such as division of fractions, reciprocal theorem, and simplifying fractions. Suitable for Grades 6-8 students.

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