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Let’s check out your problem:

-3(1)/(2)÷(-1(2)/(5))=

−312÷(−125)= -3 \frac{1}{2} \div\left(-1 \frac{2}{5}\right)=

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Full solution

Q. −312÷(−125)= -3 \frac{1}{2} \div\left(-1 \frac{2}{5}\right)=
  1. Convert to Improper Fractions: Convert mixed numbers to improper fractions.\newline−3(12)-3\left(\frac{1}{2}\right) becomes −72-\frac{7}{2} and −1(25)-1\left(\frac{2}{5}\right) becomes −75-\frac{7}{5}.
  2. Divide Fractions: Divide the fractions by multiplying the first fraction by the reciprocal of the second fraction. (−72)÷(−75)(-\frac{7}{2}) \div (-\frac{7}{5}) becomes (−72)×(−57)(-\frac{7}{2}) \times (-\frac{5}{7}).
  3. Multiply Numerators and Denominators: Multiply the numerators and the denominators.\newline(−7)×(−5)=35(-7) \times (-5) = 35 and 2×7=142 \times 7 = 14.
  4. Simplify Fraction: Simplify the fraction 3514\frac{35}{14}.3514\frac{35}{14} simplifies to 2(12)2\left(\frac{1}{2}\right) or 2.52.5.

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