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(-5)/(7)÷(-1(1)/(8))=

−57÷(−118)= \frac{-5}{7} \div\left(-1 \frac{1}{8}\right)=

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Full solution

Q. −57÷(−118)= \frac{-5}{7} \div\left(-1 \frac{1}{8}\right)=
  1. Convert to Improper Fraction: Convert the mixed number (−118)(-1\frac{1}{8}) to an improper fraction.\newline(−118)=(−1×8+1)/8=(−8+1)/8=−98(-1\frac{1}{8}) = (-1 \times 8 + 1) / 8 = (-8 + 1) / 8 = -\frac{9}{8}
  2. Rewrite as Multiplication: Rewrite the division problem as a multiplication problem by taking the reciprocal of the second fraction.\newline(-\frac{\(5\)}{\(7\)}) \div (-\frac{\(9\)}{\(8\)}) = (-\frac{\(5\)}{\(7\)}) \times (-\frac{\(8\)}{\(9\)})
  3. Multiply Numerators and Denominators: Multiply the numerators and then the denominators.\(\newline(−5)×(−8)=40(-5) \times (-8) = 40\newline(7)×(9)=63(7) \times (9) = 63\newlineSo, (−5)/(7)×(−8/9)=40/63(-5)/(7) \times (-8/9) = 40/63
  4. Simplify Fraction: Simplify the fraction if possible.\newline4063\frac{40}{63} can be simplified by dividing both the numerator and the denominator by 77.\newline40÷7=5.71440 \div 7 = 5.714 (This is a mistake, should be 40÷7=5.857140 \div 7 = 5.8571)\newline63÷7=963 \div 7 = 9\newlineSo, 4063\frac{40}{63} simplifies to 5.7149\frac{5.714}{9}

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