$$3\frac{1}{4}\times2\frac{1}{3}-1\frac{1}{4}\times\frac{1}{5}$$
$\frac{22}{3}\approx 7.333333333$
$$\frac{12+1}{4}\times \frac{2\times 3+1}{3}-\frac{1\times 4+1}{4}\times \frac{1}{5}$$
$$\frac{13}{4}\times \frac{2\times 3+1}{3}-\frac{1\times 4+1}{4}\times \frac{1}{5}$$
$$\frac{13}{4}\times \frac{6+1}{3}-\frac{1\times 4+1}{4}\times \frac{1}{5}$$
$$\frac{13}{4}\times \frac{7}{3}-\frac{1\times 4+1}{4}\times \frac{1}{5}$$
$$\frac{13\times 7}{4\times 3}-\frac{1\times 4+1}{4}\times \frac{1}{5}$$
$$\frac{91}{12}-\frac{1\times 4+1}{4}\times \frac{1}{5}$$
$$\frac{91}{12}-\frac{4+1}{4}\times \frac{1}{5}$$
$$\frac{91}{12}-\frac{5}{4}\times \frac{1}{5}$$
$$\frac{91}{12}-\frac{5\times 1}{4\times 5}$$
$$\frac{91}{12}-\frac{1}{4}$$
$$\frac{91}{12}-\frac{3}{12}$$
$$\frac{91-3}{12}$$
$$\frac{88}{12}$$
$$\frac{22}{3}$$
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$\frac{2 \cdot 11}{3} = 7\frac{1}{3} = 7.333333333333333$
