Subjects arithmetic

Divide Unit Fractions 0B373A

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1. **State the problem:** We need to divide whole numbers by unit fractions, for example, $4 \div \frac{1}{2}$. 2. **Formula and rule:** Dividing by a fraction is the same as multiplying by its reciprocal. So, $$a \div \frac{1}{b} = a \times b$$ where $a$ is a whole number and $\frac{1}{b}$ is a unit fraction. 3. **Apply the formula to the first problem:** $$4 \div \frac{1}{2} = 4 \times 2 = 8$$ 4. **Solve the rest similarly:** - $8 \div \frac{1}{5} = 8 \times 5 = 40$ - $6 \div \frac{1}{7} = 6 \times 7 = 42$ - $9 \div \frac{1}{6} = 9 \times 6 = 54$ - $12 \div \frac{1}{4} = 12 \times 4 = 48$ - $11 \div \frac{1}{3} = 11 \times 3 = 33$ - $7 \div \frac{1}{8} = 7 \times 8 = 56$ 5. **Check given answers:** - $3 \div \frac{1}{10} = 3 \times 10 = 30$ but given as 42 (likely a typo in the problem statement) - $2 \div \frac{1}{12} = 2 \times 12 = 24$ (matches given answer) **Final answers:** - $4 \div \frac{1}{2} = 8$ - $8 \div \frac{1}{5} = 40$ - $6 \div \frac{1}{7} = 42$ - $9 \div \frac{1}{6} = 54$ - $12 \div \frac{1}{4} = 48$ - $11 \div \frac{1}{3} = 33$ - $7 \div \frac{1}{8} = 56$