|3/5|+|5/7|

To add the two fractions \(\frac{3}{5}\) and \(\frac{5}{7}\), we first need to find a common denominator. The least common multiple (LCM) of 5 and 7 is 35. Now, we will convert each fraction to have this common denominator: 1. For \(\frac{3}{5}\): \[ \frac{3}{5} = \frac{3 \times 7}{5 \times 7} = \frac{21}{35} \] 2. For \(\frac{5}{7}\): \[ \frac{5}{7} = \frac{5 \times 5}{7 \times 5} = \frac{25}{35} \] Now that we have both fractions with a common denominator, we can add them: \[ \frac{21}{35} + \frac{25}{35} = \frac{21 + 25}{35} = \frac{46}{35} \] Thus, the sum of \(|\frac{3}{5}| + |\frac{5}{7}|\) is \(\frac{46}{35}\). If you want to express it as a mixed number: \(\frac{46}{35} = 1 \frac{11}{35}\). So, the final answer is: \[ \frac{46}{35} \text{ or } 1 \frac{11}{35} \]