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\sqrt[3]{\frac{3}{4\times 3.14}}
Multiply 3 and 1 to get 3.
\sqrt[3]{\frac{3}{12.56}}
Multiply 4 and 3.14 to get 12.56.
\sqrt[3]{\frac{300}{1256}}
Expand \frac{3}{12.56} by multiplying both numerator and the denominator by 100.
\sqrt[3]{\frac{75}{314}}
Reduce the fraction \frac{300}{1256} to lowest terms by extracting and canceling out 4.