Simplify and leave your answer as a proper fraction or a mixed number. \( 5 \frac{5}{8}-4 \frac{1}{2}=\square \)
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To simplify \( 5 \frac{5}{8}-4 \frac{1}{2} \), first convert the mixed numbers into improper fractions: \( 5 \frac{5}{8} = \frac{5 \times 8 + 5}{8} = \frac{40 + 5}{8} = \frac{45}{8} \) \( 4 \frac{1}{2} = \frac{4 \times 2 + 1}{2} = \frac{8 + 1}{2} = \frac{9}{2} \) Next, convert \( \frac{9}{2} \) to a denominator of 8: \( \frac{9}{2} = \frac{9 \times 4}{2 \times 4} = \frac{36}{8} \) Now subtract the two improper fractions: \( \frac{45}{8} - \frac{36}{8} = \frac{45 - 36}{8} = \frac{9}{8} \) Now, convert \( \frac{9}{8} \) back into a mixed number: \( \frac{9}{8} = 1 \frac{1}{8} \) So, \( 5 \frac{5}{8} - 4 \frac{1}{2} = 1 \frac{1}{8} \).
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