It took mike 2 2/5 hours to drive home. His sister drove same distance in 3/8 of mikes time how long did the drive take mikes sister?

Answer 1

2 2/5 = 12/5

in these word problems, "of" means "times" as in half of 10 is 1/2 * 10

So, we have
3/8 * 12/5 = 36/40

while that is mathematically correct, it is normal to reduce fractions to lowest terms, by removing common factors from numerator and denominator. So, since

36/40 = 4*9/4*10 = 4/4 * 9/10,

and 4/4 = 1,

we end up with just 9/10.

Answer 2

2 2/5 hours is 132 minutes

132*3/8 is equal to 45 3/4 minutes

Answer 3

2 1/5 hours is 132 minutes.
2 2/5 hours is 144 minutes . . .