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723 of 35÷3152117\frac{2}{3} \text{ of } \frac{3}{5}÷3\frac{1}{5}-\frac{2}{11}

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Q. 723 of 35÷3152117\frac{2}{3} \text{ of } \frac{3}{5}÷3\frac{1}{5}-\frac{2}{11}
  1. Convert to Improper Fractions: Convert mixed numbers to improper fractions.\newline723=(7×3+2)3=2337\frac{2}{3} = \frac{(7\times3 + 2)}{3} = \frac{23}{3}\newline315=(3×5+1)5=1653\frac{1}{5} = \frac{(3\times5 + 1)}{5} = \frac{16}{5}
  2. Calculate Fraction Multiplication: Calculate 7237\frac{2}{3} of 35\frac{3}{5}.\newline$(233)×(35)=235\$(\frac{23}{3}) \times (\frac{3}{5}) = \frac{23}{5}
  3. Divide Fractions: Divide 235\frac{23}{5} by 165\frac{16}{5}.235/165=235×516=2316\frac{23}{5} / \frac{16}{5} = \frac{23}{5} \times \frac{5}{16} = \frac{23}{16}
  4. Subtract Fractions: Subtract 211\frac{2}{11} from 2316\frac{23}{16}.\newline2316211=25332176=221176\frac{23}{16} - \frac{2}{11} = \frac{253 - 32}{176} = \frac{221}{176}

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