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Divide. Write your answer in simplest form. -(6)/(7)÷(-(3)/(8))=?

Divide.\newlineWrite your answer in simplest form.\newline−67÷(−38)= ?  -\frac{6}{7} \div\left(-\frac{3}{8}\right)=\text { ? }

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Full solution

Q. Divide.\newlineWrite your answer in simplest form.\newline−67÷(−38)= ?  -\frac{6}{7} \div\left(-\frac{3}{8}\right)=\text { ? }
  1. Reciprocal Multiplication: First, remember that dividing by a fraction is the same as multiplying by its reciprocal.\newlineSo, −67-\frac{6}{7} ÷ −38-\frac{3}{8} becomes −67-\frac{6}{7} * −83-\frac{8}{3}.
  2. Multiply Numerators and Denominators: Now, multiply the numerators and the denominators separately.(−6×−8)/(7×3)(-6 \times -8) / (7 \times 3)
  3. Calculate Multiplication: Calculate the multiplication. 4821\frac{48}{21}
  4. Simplify Fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 33. \newline48÷321÷3\frac{48 \div 3}{21 \div 3}
  5. Final Simplified Fraction: After dividing, we get the simplified fraction. 167\frac{16}{7}

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