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Divide. Write your answer in simplest form. -(7)/(8)÷(-(7)/(5))=?

Divide.\newlineWrite your answer in simplest form.\newline−78÷(−75)=? -\frac{7}{8} \div\left(-\frac{7}{5}\right)=?

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Full solution

Q. Divide.\newlineWrite your answer in simplest form.\newline−78÷(−75)=? -\frac{7}{8} \div\left(-\frac{7}{5}\right)=?
  1. Reciprocal multiplication: First, remember that dividing by a fraction is the same as multiplying by its reciprocal.\newlineSo, we need to multiply −78-\frac{7}{8} by the reciprocal of −75-\frac{7}{5}, which is −57-\frac{5}{7}.
  2. Numerators and denominators: Now, multiply the numerators and the denominators separately. (−7×−5)/(8×7)(-7 \times -5) / (8 \times 7)
  3. Calculation: Calculate the multiplication. 35/5635 / 56
  4. Simplification: Simplify the fraction if possible.\newlineBut 3535 and 5656 don't have any common factors other than 11, so the fraction is already in simplest form.

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