Subjects arithmetic

Divide Unit Fractions Dcb6C9

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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:** - $6 \div \frac{1}{7} = 42$ - $9 \div \frac{1}{6} = 54$ - $2 \div \frac{1}{12} = 24$ - $12 \div \frac{1}{4} = 48$ - $11 \div \frac{1}{3} = 33$ - $7 \div \frac{1}{8} = 56$