Answer
$$1\frac{7}{8}. $$
Work Step by Step
By unifying the denominators, we have
$$ 6\frac{1}{2}-4\frac{5}{8}=\frac{13}{2}-\frac{37}{8}=\frac{52}{8}-\frac{37}{8}\\ =\frac{52-37}{8}=\frac{15}{8}=1\frac{7}{8}. $$
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