A marathon is \( \overline{\bar{a}} 26 \) mile run. If a marathon runner has run 19 miles so far, what percent of the marathon has she completed?

To find the percentage of the marathon completed by the runner, we need to calculate the fraction of the marathon that has been completed and then convert it to a percentage. Given: - Total distance of the marathon = 26 miles - Distance run so far = 19 miles To find the percentage completed: 1. Calculate the fraction of the marathon completed: \[ \text{Fraction completed} = \frac{\text{Distance run so far}}{\text{Total distance of the marathon}} \] 2. Convert the fraction to a percentage: \[ \text{Percentage completed} = \text{Fraction completed} \times 100\% \] Let's calculate the percentage completed. Calculate the value by following steps: - step0: Calculate: \(\frac{19}{26}\times 100\) - step1: Reduce the numbers: \(\frac{19}{13}\times 50\) - step2: Multiply: \(\frac{19\times 50}{13}\) - step3: Multiply: \(\frac{950}{13}\) The percentage of the marathon completed by the runner is \(73\frac{1}{13}\%\) or approximately 73.076923%.