Mona had some free time, so she decided to go online and read about her favorite hobbies. She spent \( 14 / 15 \) of an hour on cooking, \( 7 / 15 \) of an hour on knitting, and \( 4 / 15 \) of an hour on baking. In addition, she spent \( 2 / 5 \) of an hour reading about dog training and \( 2 / 3 \) of an hour learning about sewing. In all, how many hours did Mona spend reading up on her hobbies?

To find out how many hours Mona spent reading about her hobbies, we need to add up all the fractions of hours she spent on each hobby. The time spent on each hobby is as follows: - Cooking: \( \frac{14}{15} \) hours - Knitting: \( \frac{7}{15} \) hours - Baking: \( \frac{4}{15} \) hours - Dog training: \( \frac{2}{5} \) hours - Sewing: \( \frac{2}{3} \) hours First, we need to convert all fractions to a common denominator so we can add them together. The least common multiple (LCM) of the denominators \( 15, 5, \) and \( 3 \) is \( 15 \). Now, we convert each fraction: - Cooking: \( \frac{14}{15} \) (already has a denominator of 15) - Knitting: \( \frac{7}{15} \) (already has a denominator of 15) - Baking: \( \frac{4}{15} \) (already has a denominator of 15) - Dog training: \[ \frac{2}{5} = \frac{2 \times 3}{5 \times 3} = \frac{6}{15} \] - Sewing: \[ \frac{2}{3} = \frac{2 \times 5}{3 \times 5} = \frac{10}{15} \] Now we can add all these fractions together: \[ \frac{14}{15} + \frac{7}{15} + \frac{4}{15} + \frac{6}{15} + \frac{10}{15} \] Combining the numerators: \[ 14 + 7 + 4 + 6 + 10 = 41 \] So, we have: \[ \frac{41}{15} \] Now, we can convert this improper fraction into a mixed number: \[ \frac{41}{15} = 2 \frac{11}{15} \] Thus, the total time Mona spent reading about her hobbies is \( 2 \frac{11}{15} \) hours.