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\sqrt[3]{\left(\frac{7}{4}+8\right)\times \frac{1}{18}}
Add \frac{3}{4} and 1 to get \frac{7}{4}.
\sqrt[3]{\frac{39}{4}\times \frac{1}{18}}
Add \frac{7}{4} and 8 to get \frac{39}{4}.
\sqrt[3]{\frac{13}{24}}
Multiply \frac{39}{4} and \frac{1}{18} to get \frac{13}{24}.