Question

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
of the total time has passed. How long will he drive before he stops for gas? Express your answer as a mixed number.

Answer 1

It looks like a fraction is missing from the problem statement — “He wants to stop for gas after ___ of the total time has passed.” Could you tell me what that fraction is?

While you reply, here’s how to solve it once the fraction is known:

1. Convert 9 3/4 to an improper fraction: 9 3/4 = 39/4.
2. If the stopping fraction is a/b, multiply: time before stop = (39/4) * (a/b) = (39a)/(4b).
3. Convert that improper fraction back to a mixed number.

Example: if the fraction were 2/5, then
(39/4) * (2/5) = 78/20 = 39/10 = 3 9/10 hours.

Send the missing fraction and I’ll compute the exact mixed number.