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Divide. Write your answer in simplest form. -(4)/(5)÷(-(7)/(6))=?

Divide.\newlineWrite your answer in simplest form.\newline−45÷(−76)=? -\frac{4}{5} \div\left(-\frac{7}{6}\right)=?

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Full solution

Q. Divide.\newlineWrite your answer in simplest form.\newline−45÷(−76)=? -\frac{4}{5} \div\left(-\frac{7}{6}\right)=?
  1. Multiply by Reciprocal: First, remember that dividing by a fraction is the same as multiplying by its reciprocal.\newlineSo, we need to multiply −45-\frac{4}{5} by the reciprocal of −76-\frac{7}{6}, which is −67-\frac{6}{7}.\newlineCalculation: −45×−67-\frac{4}{5} \times -\frac{6}{7}
  2. Multiply Numerators and Denominators: Now, multiply the numerators together and the denominators together.\newlineCalculation: (−4×−6)/(5×7)(-4 \times -6) / (5 \times 7)
  3. Simplify Multiplication: Simplify the multiplication.\newlineCalculation: 2435\frac{24}{35}
  4. Final Answer: Since there are no common factors between 2424 and 3535, the fraction is already in simplest form.\newlineFinal Answer: 2435\frac{24}{35}

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