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Divide. Write your answer in simplest form. -(5)/(2)÷(5)/(7)=?

Divide.\newlineWrite your answer in simplest form.\newline−52÷57=? -\frac{5}{2} \div \frac{5}{7}=?

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Full solution

Q. Divide.\newlineWrite your answer in simplest form.\newline−52÷57=? -\frac{5}{2} \div \frac{5}{7}=?
  1. Write as multiplication: First, let's write the division as a multiplication by the reciprocal of the second fraction.\newline−52÷57=−52×75-\frac{5}{2} \div \frac{5}{7} = -\frac{5}{2} \times \frac{7}{5}
  2. Multiply numerators and denominators: Now, multiply the numerators and the denominators. (−5×7)/(2×5)=−35/10(-5 \times 7) / (2 \times 5) = -35/10
  3. Simplify the fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common factor, which is 55. \newline−3510÷55=−72\frac{-35}{10} \div \frac{5}{5} = \frac{-7}{2}

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