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Let’s check out your problem:

-(1)/(2)÷(-1(3)/(8))=

−12÷(−138)= -\frac{1}{2} \div\left(-1 \frac{3}{8}\right)=

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Full solution

Q. −12÷(−138)= -\frac{1}{2} \div\left(-1 \frac{3}{8}\right)=
  1. Convert to Improper Fraction: Convert the mixed number to an improper fraction.\newline−138=−1×88−38=−88−38=−118-1\frac{3}{8} = -1 \times \frac{8}{8} - \frac{3}{8} = -\frac{8}{8} - \frac{3}{8} = -\frac{11}{8}
  2. Multiply by Reciprocal: Rewrite the division as multiplication by the reciprocal. −(12)÷(−118)=−(12)×(−811)-(\frac{1}{2}) \div (-\frac{11}{8}) = -(\frac{1}{2}) \times (-\frac{8}{11})
  3. Multiply Numerators and Denominators: Multiply the numerators and the denominators. (−1×−8)/(2×11)=8/22(-1 \times -8) / (2 \times 11) = 8 / 22
  4. Simplify Fraction: Simplify the fraction. 8/228 / 22 can be simplified to 4/114 / 11 by dividing both numerator and denominator by 22.

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