Determine the product of the given mixed numbers:
$2 \frac{5}{8} \cdot 1 \frac{1}{7}$

Answer

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Answer

The product of the given mixed numbers is $\boxed{3}$

Steps

Step 1 ：Convert the mixed numbers to improper fractions: $2 \frac{5}{8} = \frac{21}{8}$ and $1 \frac{1}{7} = \frac{8}{7}$

Step 2 ：Multiply the two fractions: $\frac{21}{8} \cdot \frac{8}{7} = \frac{168}{56}$

Step 3 ：Simplify the fraction: $\frac{168}{56} = \frac{21}{7} = 3$

Step 4 ：The product of the given mixed numbers is $\boxed{3}$