Question : Find the simplified value of the given expression. $4 \frac{4}{5} ÷ \frac{3}{5} \text { of } 5+\frac{4}{5} \times \frac{3}{10}-\frac{1}{5}$
Option 1: $1 \frac{4}{5}$
Option 2: $5$
Option 3: $1 \frac{16}{25}$
Option 4: $6$
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Correct Answer: $1 \frac{16}{25}$
Solution : Given: $4 \frac{4}{5} ÷ \frac{3}{5} \text { of } 5+\frac{4}{5} \times \frac{3}{10}-\frac{1}{5}$ $= \frac{24}{5} ÷3+\frac{4}{5} \times \frac{3}{10}-\frac{1}{5}$ $= \frac{24}{5}×\frac{1}{3}+\frac{4}{5} \times \frac{3}{10}-\frac{1}{5}$ $=\frac{8}{5}+\frac{6}{25}-\frac{1}{5}$ $=\frac{40+6-5}{25}$ $= \frac{41}{25}$ $= 1\frac{16}{25}$ Hence, the correct answer is $1\frac{16}{25}$.
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