Question

You run $2\frac{1}{2}$ miles as a part of an exercise routine. you run $\frac{1}{3}$ of that distance on a hill. you run down a slope for the last $\frac{1}{2}$ of the hill. on how many miles of your run do you run down the slope?

Answer 1

Given,

Total distance
`=2(1)/(2)` miles

You run 1/3 of that distance on a hill.

Distance on a hill
`=(1)/(3) * 2(1)/(2)` miles

You run down a slope for the last 1/2 of the hill=
`(1)/(3) * 2(1)/(2)*(1)/(2)` miles
`=(5)/(12)` miles

Distance you run down the slope
`=(5)/(12)` miles