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Divide. Write your answer in simplest form. -(3)/(2)÷(7)/(4)=?

Divide.\newlineWrite your answer in simplest form.\newline−32÷74=? -\frac{3}{2} \div \frac{7}{4}=?

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Full solution

Q. Divide.\newlineWrite your answer in simplest form.\newline−32÷74=? -\frac{3}{2} \div \frac{7}{4}=?
  1. Write as multiplication: First, let's write the division as a multiplication by the reciprocal of the second fraction.\newline−32÷74=−32×47-\frac{3}{2} \div \frac{7}{4} = -\frac{3}{2} \times \frac{4}{7}
  2. Multiply numerators and denominators: Now, multiply the numerators and the denominators.\newline(−3×4)/(2×7)=−12/14(-3 \times 4) / (2 \times 7) = -12 / 14
  3. Simplify the fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common factor, which is 22.−12/14=(−12÷2)/(14÷2)=−6/7-12 / 14 = (-12 \div 2) / (14 \div 2) = -6 / 7

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