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((2)/(3)-(4)/(9))×3(2)/(5)

(23−49)×3(25)\left(\frac{2}{3}-\frac{4}{9}\right)\times 3\left(\frac{2}{5}\right)

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Full solution

Q. (23−49)×3(25)\left(\frac{2}{3}-\frac{4}{9}\right)\times 3\left(\frac{2}{5}\right)
  1. Simplify Fraction Subtraction: Step 11: Simplify the fraction subtraction (23)−(49)(\frac{2}{3}) - (\frac{4}{9}). Convert (23)(\frac{2}{3}) to a fraction with a denominator of 99: (23)=(69)(\frac{2}{3}) = (\frac{6}{9}). Now subtract: (69)−(49)=(29)(\frac{6}{9}) - (\frac{4}{9}) = (\frac{2}{9}).
  2. Multiply by 3(25)3(\frac{2}{5}): Step 22: Multiply the result by 3(25)3(\frac{2}{5}). Convert 3(25)3(\frac{2}{5}) to an improper fraction: 3(25)=(175)3(\frac{2}{5}) = (\frac{17}{5}). Now multiply: (29)×(175)=(3445)(\frac{2}{9}) \times (\frac{17}{5}) = (\frac{34}{45}).

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