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$7\frac{2}{3} \text{ of } \frac{3}{5}/3\frac{1}{5}-^2/_{11}$

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Simplify radical expressions involving fractions

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Q.

7\frac{2}{3} \text{ of } \frac{3}{5}/3\frac{1}{5}-^2/_{11}

Convert to Improper Fractions: Convert mixed numbers to improper fractions. $\newline$ $7\frac{2}{3} = \frac{(7\times3 + 2)}{3} = \frac{23}{3}$ $\newline$ $3\frac{1}{5} = \frac{(3\times5 + 1)}{5} = \frac{16}{5}$
Calculate Fraction Multiplication: Calculate $7\frac{2}{3}$ of $\frac{3}{5}$ . $\newline$ $\$(\frac{23}{3}) \times (\frac{3}{5}) = \frac{23}{5}$
Divide Fractions: Divide $\frac{23}{5}$ by $\frac{16}{5}$ . $\frac{23}{5} / \frac{16}{5} = \frac{23}{5} \times \frac{5}{16} = \frac{23}{16}$
Subtract Fractions: Subtract $\frac{2}{11}$ from $\frac{23}{16}$ . $\newline$ $\frac{23}{16} - \frac{2}{11} = \frac{253 - 32}{176} = \frac{221}{176}$

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