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Step1: Convert mixed numbers to improper fractions
$$2\frac{1}{8}=\frac{2\times8 + 1}{8}=\frac{17}{8}$$
$$1\frac{2}{8}=\frac{1\times8+2}{8}=\frac{10}{8}$$
Step2: Subtract the fractions
$$\frac{17}{8}-\frac{10}{8}=\frac{17 - 10}{8}=\frac{7}{8}$$
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$\frac{7}{8}$