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Divide. Write your answer in simplest form. -(2)/(3)÷(-(1)/(6))=?

Divide.\newlineWrite your answer in simplest form.\newline−23÷(−16)=? -\frac{2}{3} \div\left(-\frac{1}{6}\right)=?

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Full solution

Q. Divide.\newlineWrite your answer in simplest form.\newline−23÷(−16)=? -\frac{2}{3} \div\left(-\frac{1}{6}\right)=?
  1. Multiply by Reciprocal: Dividing fractions means multiplying by the reciprocal of the second fraction.\newlineSo, −23-\frac{2}{3} ÷ −16-\frac{1}{6} becomes −23-\frac{2}{3} * −61-\frac{6}{1}.
  2. Multiply Numerators and Denominators: Now, multiply the numerators and the denominators separately. (−2)×(−6)=12(-2) \times (-6) = 12 and 3×1=33 \times 1 = 3.
  3. Simplify Fraction: Simplify the fraction 123\frac{12}{3}.\newline1212 divided by 33 equals 44.

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