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

Divide.\newlineWrite your answer in simplest form.\newline−72÷(−75)=? -\frac{7}{2} \div\left(-\frac{7}{5}\right)=?

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Full solution

Q. Divide.\newlineWrite your answer in simplest form.\newline−72÷(−75)=? -\frac{7}{2} \div\left(-\frac{7}{5}\right)=?
  1. Write as multiplication: First, let's write the division as a multiplication by the reciprocal of the second fraction.\newlineCalculation: −72-\frac{7}{2} ÷ −75-\frac{7}{5} = −72-\frac{7}{2} * −57-\frac{5}{7}
  2. Multiply numerators and denominators: Now, multiply the numerators and the denominators.\newlineCalculation: (−7×−5)/(2×7)(-7 \times -5) / (2 \times 7)
  3. Simplify multiplication: Simplify the multiplication.\newlineCalculation: 35/1435 / 14
  4. Reduce to simplest form: Reduce the fraction to its simplest form.\newlineCalculation: 3514=2714=212\frac{35}{14} = 2 \frac{7}{14} = 2 \frac{1}{2}

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