Question: User: 2 \times (0.95 \times 0.76) / (0.95 + 0.76)
1. **State the problem:** Calculate the value of the expression $$2 \times (0.95 \times 0.76) / (0.95 + 0.76)$$.
2. **Write the formula and explain:** The expression involves multiplication and division. We first multiply the numbers inside the parentheses, then multiply by 2, and finally divide by the sum in the denominator.
3. **Calculate the numerator:**
$$0.95 \times 0.76 = 0.722$$
4. **Multiply by 2:**
$$2 \times 0.722 = 1.444$$
5. **Calculate the denominator:**
$$0.95 + 0.76 = 1.71$$
6. **Divide numerator by denominator:**
$$\frac{1.444}{1.71}$$
7. **Simplify the fraction by canceling common factors:**
$$\frac{\cancel{1.444}}{\cancel{1.71}}$$ (No common factors to cancel exactly, so proceed to division)
8. **Perform the division:**
$$1.444 \div 1.71 \approx 0.844\ (rounded\ to\ three\ decimal\ places)$$
**Final answer:** $$0.844$$