Micah is planning a road trip. He estimates that he will drive a total of of 9 3/4 hours. He wants to stop for gas after 1/3 of the total time has passed. How long will he drive before he stops for gas? Express your answer as a mixed number.
13/4 hours
9 1/4 hours
3 1/4 hours
2 1/4 hours
To find out how long Micah will drive before stopping for gas, we need to calculate 1/3 of his total driving time.
1/3 * 9 3/4 = 9 3/4 * 1/3 = 9/3 + 3/4 = 27/4 + 3/4 = 30/4 = 7 1/2 hours
Therefore, Micah will drive for 7 1/2 hours before stopping for gas.
The correct answer is 7 1/2 hours.