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(5)/(3)×(-(6)/(7))

53×(−67) \frac{5}{3} \times\left(-\frac{6}{7}\right)

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Full solution

Q. 53×(−67) \frac{5}{3} \times\left(-\frac{6}{7}\right)
  1. Multiply Numerators and Denominators: Multiply the numerators together and the denominators together.\newline(53)×(−67)=(5×−63×7)(\frac{5}{3}) \times (\frac{-6}{7}) = (\frac{5 \times -6}{3 \times 7})
  2. Calculate Products: Calculate the product of the numerators and the product of the denominators. 5×−6=−305 \times -6 = -30, and 3×7=213 \times 7 = 21
  3. Write Final Fraction: Write the final fraction.\newline−3021-\frac{30}{21}
  4. Simplify Fraction with GCD: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.\newlineGCD of −30-30 and 2121 is 33.
  5. Divide by GCD to Simplify: Divide both the numerator and the denominator by the GCD to simplify the fraction.−30÷321÷3=−107\frac{-30 \div 3}{21 \div 3} = \frac{-10}{7}

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