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Let’s check out your problem:

4(1)/(2)÷(-1(3)/(7))=

412÷(−137)= 4 \frac{1}{2} \div\left(-1 \frac{3}{7}\right)=

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Full solution

Q. 412÷(−137)= 4 \frac{1}{2} \div\left(-1 \frac{3}{7}\right)=
  1. Convert to Improper Fractions: Convert mixed numbers to improper fractions.\newline412=4×2+12=924\frac{1}{2} = \frac{4\times 2 + 1}{2} = \frac{9}{2}\newline(−137)=−1×7+37=−7+37=−47(-1\frac{3}{7}) = \frac{-1\times 7 + 3}{7} = \frac{-7 + 3}{7} = -\frac{4}{7}
  2. Divide by Reciprocal: Divide the fractions by multiplying by the reciprocal.\newline(92)÷(−47)=(92)×(−74)(\frac{9}{2}) \div (\frac{-4}{7}) = (\frac{9}{2}) \times (\frac{-7}{4})
  3. Multiply Numerators and Denominators: Multiply the numerators and denominators.\newline(9×−7)/(2×4)=−63/8(9 \times -7) / (2 \times 4) = -63 / 8
  4. Simplify Fraction: Simplify the fraction if possible.\newline−638-\frac{63}{8} cannot be simplified further.

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