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[tex]\displaystyle \\ \frac{7}{8} \times \frac{1}{8} \times 2\frac{1}{4} = \frac{7}{8} \times \frac{1}{8} \times \frac{9}{4} = \frac{7\times 1\times 9}{8\times 8\times 4}= \boxed{\frac{63}{256}}[/tex]