Question
Find
$3 \frac{1}{5} \div1 \frac{2}{3}$
$3 \frac{1}{5} \div1 \frac{2}{3}$
✓
Answer
We have,
$
\begin{aligned}
3 \frac{1}{5} \div1 \frac{2}{3} & =\left(\frac{3 \times 5+1}{5}\right) \div\left(\frac{1 \times 3+2}{3}\right) \\
& =\left(\frac{15+1}{5}\right) \div\left(\frac{3+2}{3}\right) \\
& =\frac{16}{5} \div\frac{5}{3}=\frac{16}{5} \times \frac{3}{5}=\frac{16 \times 3}{5 \times 5}=\frac{48}{25}
\end{aligned}
$
$
\begin{aligned}
3 \frac{1}{5} \div1 \frac{2}{3} & =\left(\frac{3 \times 5+1}{5}\right) \div\left(\frac{1 \times 3+2}{3}\right) \\
& =\left(\frac{15+1}{5}\right) \div\left(\frac{3+2}{3}\right) \\
& =\frac{16}{5} \div\frac{5}{3}=\frac{16}{5} \times \frac{3}{5}=\frac{16 \times 3}{5 \times 5}=\frac{48}{25}
\end{aligned}
$
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