"What is the total number of miles that the teacher ran last week and this week, if he ran a total of 5 3/4 miles last week and 4/5 of that distance this week?" is 10 13/20 miles.
To find the total number of miles that the teacher ran last week and this week, we need to:
Determine how many miles the teacher ran this week.
Add that number to the total number of miles the teacher ran last week.
Let's start by finding out how many miles the teacher ran this week:
The teacher ran 4/5 of the total number of miles he ran last week, which means he ran:
(4/5) x 5 3/4 miles = 4 3/5 miles
Next, we can add the number of miles the teacher ran last week to the number of miles he ran this week to find the total number of miles he ran:
5 3/4 miles + 4 3/5 miles = 10 13/20 miles
Therefore, the teacher ran a total of 10 13/20 miles last week and this week combined.