\(\text{Step 1: Express both as improper fractions.}\)
\(\,\,\,\,\,\,3 \frac{2}{3}÷1 \frac{1}{5}\,\,\, \Rightarrow \,\,\,\displaystyle \frac{11}{3}÷ \frac{6}{5} \)
\(\text{Step 2: Change it to a multiply and flip the second fraction.}\)
\(\,\,\,\,\,\,\displaystyle \frac{11}{3}÷ \frac{6}{5} \,\,\, \Rightarrow \,\,\, \frac{11}{3} \times \frac{5}{6} \)
\(\text{Step 3: Multiply across for top and bottom.}\)
\(\,\,\,\,\,\,\displaystyle \frac{11}{3} \times \frac{5}{6} \,\,\, \Rightarrow \,\,\, \frac{11 \times 5}{6 \times 3} \,\,\, \Rightarrow \,\,\, \frac{55}{18}\)
\(\text{Step 4: Express as a mixed number. (optional)}\)
\(\,\,\,\,\,\,\displaystyle \frac{55}{18} \,\,\, \Rightarrow \,\,\, \)\(3 \frac{1}{18}\)
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