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(2)/(9)×(-(6)/(5))

29×(65) \frac{2}{9} \times\left(-\frac{6}{5}\right)

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Q. 29×(65) \frac{2}{9} \times\left(-\frac{6}{5}\right)
  1. Multiply fractions: To find the product of two fractions, multiply the numerators together and the denominators together.\newline(29)×(65)=(2×69×5)(\frac{2}{9}) \times (\frac{-6}{5}) = (\frac{2 \times -6}{9 \times 5})
  2. Calculate product: Now, multiply the numerators and the denominators.\newline2×6=122 \times -6 = -12\newline9×5=459 \times 5 = 45\newlineSo, (2×6)/(9×5)=12/45(2 \times -6) / (9 \times 5) = -12 / 45
  3. Simplify fraction: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.\newlineThe GCD of 12-12 and 4545 is 33.\newline(12/45)÷(3/3)=(4/15)(-12 / 45) \div (3 / 3) = (-4 / 15)

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