$$18 \frac { 2 } { 3 } - 15 \frac { 5 } { 6 } + 4 \frac { 1 } { 8 }$$
$\frac{167}{24}\approx 6.958333333$
$$\frac{54+2}{3}-\frac{15\times 6+5}{6}+\frac{4\times 8+1}{8}$$
$$\frac{56}{3}-\frac{15\times 6+5}{6}+\frac{4\times 8+1}{8}$$
$$\frac{56}{3}-\frac{90+5}{6}+\frac{4\times 8+1}{8}$$
$$\frac{56}{3}-\frac{95}{6}+\frac{4\times 8+1}{8}$$
$$\frac{112}{6}-\frac{95}{6}+\frac{4\times 8+1}{8}$$
$$\frac{112-95}{6}+\frac{4\times 8+1}{8}$$
$$\frac{17}{6}+\frac{4\times 8+1}{8}$$
$$\frac{17}{6}+\frac{32+1}{8}$$
$$\frac{17}{6}+\frac{33}{8}$$
$$\frac{68}{24}+\frac{99}{24}$$
$$\frac{68+99}{24}$$
$$\frac{167}{24}$$
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$\frac{167}{2 ^ {3} \cdot 3} = 6\frac{23}{24} = 6.958333333333333$
