((2)/(3)-(4)/(9))×3(2)/(5)

Simplify Fraction Subtraction: Step 1: Simplify the fraction subtraction (2/3) - (4/9). Convert (2/3) to a fraction with a denominator of 9: (2/3) = (6/9). Now subtract: (6/9) - (4/9) = (2/9).Multiply by 3(2/5): Step 2: Multiply the result by 3(2/5). Convert 3(2/5) to an improper fraction: 3(2/5) = (17/5). Now multiply: (2/9) × (17/5) = (34/45).

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$\left(\frac{2}{3}-\frac{4}{9}\right)\times 3\left(\frac{2}{5}\right)$

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\left(\frac{2}{3}-\frac{4}{9}\right)\times 3\left(\frac{2}{5}\right)

Simplify Fraction Subtraction: Step $1$ : Simplify the fraction subtraction $(\frac{2}{3}) - (\frac{4}{9})$ . Convert $(\frac{2}{3})$ to a fraction with a denominator of $9$ : $(\frac{2}{3}) = (\frac{6}{9})$ . Now subtract: $(\frac{6}{9}) - (\frac{4}{9}) = (\frac{2}{9})$ .
Multiply by $3(\frac{2}{5})$ : Step $2$ : Multiply the result by $3(\frac{2}{5})$ . Convert $3(\frac{2}{5})$ to an improper fraction: $3(\frac{2}{5}) = (\frac{17}{5})$ . Now multiply: $(\frac{2}{9}) \times (\frac{17}{5}) = (\frac{34}{45})$ .