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2(1)/(3)÷(-3(2)/(3))=

213÷(−323)= 2 \frac{1}{3} \div\left(-3 \frac{2}{3}\right)=

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Full solution

Q. 213÷(−323)= 2 \frac{1}{3} \div\left(-3 \frac{2}{3}\right)=
  1. Convert to Improper Fractions: Convert mixed numbers to improper fractions.\newline213=2×3+13=732\frac{1}{3} = \frac{2\times 3 + 1}{3} = \frac{7}{3}\newline−323=−3×3−23=−113-3\frac{2}{3} = \frac{-3\times 3 - 2}{3} = \frac{-11}{3}
  2. Set Up Division: Set up the division of the two fractions. (73)÷(−113)(\frac{7}{3}) \div (\frac{-11}{3})
  3. Change to Multiplication: Change the division to multiplication by the reciprocal of the second fraction.\newline(73)×(−311)(\frac{7}{3}) \times (\frac{-3}{11})
  4. Multiply Numerators and Denominators: Multiply the numerators and the denominators.\newline7×−3=−217 \times -3 = -21\newline3×11=333 \times 11 = 33
  5. Write in Simplest Form: Write the result in simplest form. −2133-\frac{21}{33}
  6. Simplify Fraction: Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 33.−213\frac{-21}{3} / 333\frac{33}{3} = −711-\frac{7}{11}

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