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Divide. Write your answer in simplest form. -(5)/(8)÷(-(7)/(2))=?

Divide.\newlineWrite your answer in simplest form.\newline−58÷(−72)=? -\frac{5}{8} \div\left(-\frac{7}{2}\right)=?

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Full solution

Q. Divide.\newlineWrite your answer in simplest form.\newline−58÷(−72)=? -\frac{5}{8} \div\left(-\frac{7}{2}\right)=?
  1. Reciprocal Multiplication: First, remember that dividing by a fraction is the same as multiplying by its reciprocal.\newlineSo, we need to multiply −58-\frac{5}{8} by the reciprocal of −72-\frac{7}{2}, which is −27-\frac{2}{7}.\newlineCalculation: −58×(−27)-\frac{5}{8} \times (-\frac{2}{7})
  2. Numerators and Denominators: Now, multiply the numerators and the denominators separately.\newlineFor the numerators: −5×−2=10-5 \times -2 = 10\newlineFor the denominators: 8×7=568 \times 7 = 56\newlineSo, the new fraction is 1056\frac{10}{56}.
  3. Fraction Simplification: Finally, simplify the fraction 1056\frac{10}{56} by finding the greatest common divisor (GCD) of 1010 and 5656, which is 22. Divide both the numerator and the denominator by 22. Calculation: 102/562=528\frac{10}{2}/\frac{56}{2} = \frac{5}{28}

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