Score: \( 10 / 12 \) Answered: \( 9 / 12 \) Question 6 Add: \( 4 \frac{5}{7}+3 \frac{4}{7} \) Question Help: R Worked Example 1 Message instructor D Post to forum Submit Question

To add the mixed numbers \(4 \frac{5}{7}\) and \(3 \frac{4}{7}\), start by adding the whole numbers: \(4 + 3 = 7\). Then, add the fractions: \(\frac{5}{7} + \frac{4}{7} = \frac{9}{7}\). Since \(\frac{9}{7}\) is an improper fraction, convert it to a mixed number: \(\frac{9}{7} = 1 \frac{2}{7}\). Finally, combine the whole numbers and the new fractional part: \(7 + 1 \frac{2}{7} = 8 \frac{2}{7}\)! When working with mixed numbers, it's easy to rush through the process, but take your time! A common mistake is to forget to convert improper fractions back into mixed numbers or to neglect simplifying. Always double-check your work and ensure that the final result is in the correct format before you celebrate your math triumph!