$$1 \frac { 1 } { 4 } \times 1 \frac { 11 } { 15 }$$
$\frac{13}{6}\approx 2.166666667$
$$\frac{4+1}{4}\times \frac{1\times 15+11}{15}$$
$$\frac{5}{4}\times \frac{1\times 15+11}{15}$$
$$\frac{5}{4}\times \frac{15+11}{15}$$
$$\frac{5}{4}\times \frac{26}{15}$$
$$\frac{5\times 26}{4\times 15}$$
$$\frac{130}{60}$$
$$\frac{13}{6}$$
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$\frac{13}{2 \cdot 3} = 2\frac{1}{6} = 2.1666666666666665$
