Subjects algebra

Decimal Expression 125F73

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

Question: User: (2) (0.95 \times 0.76) / (0.95 + 0.76)
1. **State the problem:** Calculate the value of the expression $$ (2) \times \frac{0.95 \times 0.76}{0.95 + 0.76} $$. 2. **Write the formula:** The expression involves multiplication and division of decimals. The numerator is the product of $0.95$ and $0.76$, and the denominator is the sum of $0.95$ and $0.76$, all multiplied by $2$. 3. **Calculate the numerator:** $$ 0.95 \times 0.76 = 0.722 $$ 4. **Calculate the denominator:** $$ 0.95 + 0.76 = 1.71 $$ 5. **Form the fraction:** $$ \frac{0.722}{1.71} $$ 6. **Simplify the fraction:** $$ \frac{0.722}{1.71} = \frac{\cancel{0.722}}{\cancel{1.71}} \approx 0.4222 $$ 7. **Multiply by 2:** $$ 2 \times 0.4222 = 0.8444 $$ **Final answer:** $$ 0.8444 $$