1. **Stating the problem:** We need to divide whole numbers by unit fractions. For example, $3 \div \frac{1}{10}$.
2. **Formula used:** Dividing by a fraction is the same as multiplying by its reciprocal. So,
$$a \div \frac{1}{b} = a \times b$$
where $a$ and $b$ are whole numbers.
3. **Explanation:** When you divide by a fraction, you multiply by the reciprocal of that fraction. The reciprocal of $\frac{1}{b}$ is $b$.
4. **Solve the first problem:**
$$6 \div \frac{1}{7} = 6 \times 7 = 42$$
5. **Solve the second problem:**
$$9 \div \frac{1}{6} = 9 \times 6 = 54$$
6. **Solve the third problem:**
$$2 \div \frac{1}{12} = 2 \times 12 = 24$$
7. **Solve the fourth problem:**
$$12 \div \frac{1}{4} = 12 \times 4 = 48$$
8. **Solve the fifth problem:**
$$11 \div \frac{1}{3} = 11 \times 3 = 33$$
9. **Solve the sixth problem:**
$$7 \div \frac{1}{8} = 7 \times 8 = 56$$
**Final answers:**
- $6 \div \frac{1}{7} = 42$
- $9 \div \frac{1}{6} = 54$
- $2 \div \frac{1}{12} = 24$
- $12 \div \frac{1}{4} = 48$
- $11 \div \frac{1}{3} = 33$
- $7 \div \frac{1}{8} = 56$
Divide Unit Fractions Dcb6C9
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.