Answer
$\frac{8}{21}$
Work Step by Step
$2\frac{2}{3}\times\frac{1}{7}$ $\longrightarrow$ convert mixed number
$=\frac{8}{3}\times\frac{1}{7}$ $\longrightarrow$multiply numerators and denominators
$=\frac{8\times1}{3\times7}$
$=\frac{8}{21}$
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