Last Saturday, Carly walked all over town running errands. First, she walked \( 5 / 8 \) of a mile from her house to the library and \( 13 / 16 \) of a mile from the library to the post office. Then she walked \( 7 / 16 \) of a mile from the post office to the bakery and \( 3 / 4 \) of a mile further to the pharmacy. Finally, Carly walked \( 1 / 4 \) of a mile from the pharmacy back home. How many miles did Carly wallk in all?

To find out how many miles Carly walked in total, we need to add all the distances she traveled: 1. From her house to the library: \( \frac{5}{8} \) miles 2. From the library to the post office: \( \frac{13}{16} \) miles 3. From the post office to the bakery: \( \frac{7}{16} \) miles 4. From the bakery to the pharmacy: \( \frac{3}{4} \) miles (which is \( \frac{3}{4} = \frac{12}{16} \) to use the same denominator) 5. From the pharmacy back home: \( \frac{1}{4} \) miles (which is \( \frac{1}{4} = \frac{4}{16} \) to use the same denominator) Now, we add these distances together: \[ \frac{5}{8} + \frac{13}{16} + \frac{7}{16} + \frac{12}{16} + \frac{4}{16} \] First, convert \( \frac{5}{8} \) to have a denominator of 16: \[ \frac{5}{8} = \frac{10}{16} \] Now, add all the fractions: \[ \frac{10}{16} + \frac{13}{16} + \frac{7}{16} + \frac{12}{16} + \frac{4}{16} = \frac{10 + 13 + 7 + 12 + 4}{16} = \frac{46}{16} \] Now, simplify \( \frac{46}{16} \): \[ \frac{46 \div 2}{16 \div 2} = \frac{23}{8} \] To convert \( \frac{23}{8} \) to a mixed number, divide 23 by 8: \[ 23 \div 8 = 2 \text{ R } 7 \quad \text{(which means 2 full miles and a remainder of 7/8)} \] Thus, Carly walked a total of \( 2 \frac{7}{8} \) miles.