1. **State the problem:** Calculate the value of the expression $12 \div (4 - 2.3)$.
2. **Recall the order of operations:** Parentheses first, then division. We must first evaluate the expression inside the parentheses.
3. **Evaluate inside the parentheses:**
$$4 - 2.3 = 1.7$$
4. **Rewrite the expression:**
$$12 \div 1.7$$
5. **Perform the division:**
$$12 \div 1.7 = \frac{12}{1.7}$$
6. **Simplify the fraction:** Multiply numerator and denominator by 10 to clear the decimal:
$$\frac{12}{1.7} = \frac{12 \times 10}{1.7 \times 10} = \frac{120}{17}$$
7. **Calculate the decimal value:**
$$\frac{120}{17} \approx 7.0588$$
**Final answer:**
$$12 \div (4 - 2.3) \approx 7.06$$
Division With Parentheses D478C8
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