Answer:
Frank jogged 18 3/4 miles.
Explanation:
To find out how many miles Frank actually jogged, we need to calculate the total distance he planned to run and then determine how much of that distance he actually completed.
On Monday, Frank planned to jog 5 3/4 miles. On Wednesday, he planned to jog 4 1/2 miles. To find the total distance he planned to run, we add these two values together:
5 3/4 + 4 1/2 = 5 + 3/4 + 4 + 1/2 = 9 3/4 + 4 1/2 = 14 1/4
So, Frank planned to jog a total of 14 1/4 miles.
However, Frank only jogged 3/5 of the miles he planned to run that week. To find out how many miles he actually jogged, we multiply the total distance he planned to run by 3/5:
14 1/4 * 3/5 = (14 * 5 + 1/4 * 5) * 3/5 = 70/4 + 5/4 = 75/4 = 18 3/4
Therefore, Frank actually jogged 18 3/4 miles.
In summary, Frank planned to jog a total of 14 1/4 miles but only jogged 18 3/4 miles.