Subjects algebra

Fraction Multiplication 347339

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1. **State the problem:** Simplify the expression $-\frac{8}{2}\left(-\frac{8}{7}\right)$.\n\n2. **Recall the rules:** Multiplication and division are performed from left to right. Negative signs affect the sign of the product or quotient.\n\n3. **Rewrite the expression:** $-\frac{8}{2} \times \left(-\frac{8}{7}\right)$.\n\n4. **Simplify the first fraction:** $-\frac{8}{2} = -4$.\n\n5. **Multiply:** $-4 \times \left(-\frac{8}{7}\right) = \frac{-4 \times -8}{7}$.\n\n6. **Calculate numerator:** $-4 \times -8 = 32$.\n\n7. **Final expression:** $\frac{32}{7}$.\n\n8. **Answer:** The simplified value is $\frac{32}{7}$.