$$( 7 ^ { - 1 } + 8 ^ { - 1 } ) ^ { - 1 } \div 5 ^ { - 1 }$$
$\frac{56}{3}\approx 18.666666667$
$$\frac{\left(\frac{1}{7}+8^{-1}\right)^{-1}}{5^{-1}}$$
$$\frac{\left(\frac{1}{7}+\frac{1}{8}\right)^{-1}}{5^{-1}}$$
$$\frac{\left(\frac{15}{56}\right)^{-1}}{5^{-1}}$$
$$\frac{\frac{56}{15}}{5^{-1}}$$
$$\frac{\frac{56}{15}}{\frac{1}{5}}$$
$$\frac{56}{15}\times 5$$
$$\frac{56}{3}$$
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$\frac{2 ^ {3} \cdot 7}{3} = 18\frac{2}{3} = 18.666666666666668$
