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Explanation:

Step1: Find a common denominator

To compare \(\frac{8}{10}\) and \(\frac{3}{2}\), we first find a common denominator. The least common denominator of 10 and 2 is 10. So we rewrite \(\frac{3}{2}\) with denominator 10: \(\frac{3}{2}=\frac{3\times5}{2\times5}=\frac{15}{10}\).

Step2: Compare the numerators

Now we have \(\frac{8}{10}\) and \(\frac{15}{10}\). Since the denominators are the same, we compare the numerators. 8 is less than 15, so \(\frac{8}{10}<\frac{3}{2}\).

Answer:

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