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

Divide.\newlineWrite your answer in simplest form.\newline23÷(−27)=? \frac{2}{3} \div\left(-\frac{2}{7}\right)=?

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Multiply and divide rational expressionsright chevron icon

Full solution

Q. Divide.\newlineWrite your answer in simplest form.\newline23÷(−27)=? \frac{2}{3} \div\left(-\frac{2}{7}\right)=?
  1. Rewrite as multiplication: Rewrite the division as multiplication by the reciprocal of the second fraction.\newline(\frac{\(2\)}{\(3\)}) \div (-(\frac{\(2\)}{\(7\)})) = (\frac{\(2\)}{\(3\)}) \times (-(\frac{\(7\)}{\(2\)}))
  2. Multiply numerators and denominators: Multiply the numerators and the denominators.\(\newline(2×−7)/(3×2)=−14/6(2 \times -7) / (3 \times 2) = -14 / 6
  3. Simplify the fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 22. \newline−14/6=(−7/3)-14 / 6 = (-7 / 3)

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