(5) (1)/(2)+(3)/(4)+(5)/(6)+(7)/(8)=

To solve this problem, we need to add the fractions together. <br /><br />First, let's find a common denominator for all the fractions. The least common multiple of 2, 4, 6, and 8 is 24. <br /><br />So, we can rewrite the fractions as follows:<br /><br />\( \frac{1}{2} = \frac{12}{24} \)<br /><br />\( \frac{3}{4} = \frac{18}{24} \)<br /><br />\( \frac{5}{6} = \frac{20}{24} \)<br /><br />\( \frac{7}{8} = \frac{21}{24} \)<br /><br />Now, we can add the fractions together:<br /><br />\( \frac{12}{24} + \frac{18}{24} + \frac{20}{24} + \frac{21}{24} = \frac{71}{24} \)<br /><br />Therefore, the sum of \( \frac{1}{2} + \frac{3}{4} + \frac{5}{6} + \frac{7}{8} \) is \( \frac{71}{24} \).