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Divide. Write your answer in simplest form. -(3)/(7)÷(3)/(8)=?

Divide.\newlineWrite your answer in simplest form.\newline−37÷38=? -\frac{3}{7} \div \frac{3}{8}=?

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Full solution

Q. Divide.\newlineWrite your answer in simplest form.\newline−37÷38=? -\frac{3}{7} \div \frac{3}{8}=?
  1. Rewrite as multiplication: Rewrite the division as multiplication by the reciprocal of the second fraction.\newline−37÷38=−37×83-\frac{3}{7} \div \frac{3}{8} = -\frac{3}{7} \times \frac{8}{3}
  2. Multiply numerators and denominators: Multiply the numerators and the denominators.\newline−3×8=−24-3 \times 8 = -24 and 7×3=217 \times 3 = 21\newlineSo, −(37)×(83)=−2421-\left(\frac{3}{7}\right) \times \left(\frac{8}{3}\right) = \frac{-24}{21}
  3. Simplify the fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 33. \newline−24÷3=−8-24 \div 3 = -8 and 21÷3=721 \div 3 = 7 \newlineSo, −2421-\frac{24}{21} simplifies to −87-\frac{8}{7}

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