Question 421282
Let {{{d}}} = distance traveled while he was asleep
After waking {{{d/2}}} is the distance left to travel
{{{ d + d/2}}} = 1/2 of the whole trip, so
{{{ 2*(d + d/2) }}} is the distance for the whole trip
The fraction of this trip that George was asleep was:
{{{ d / (2*(d + d/2)) }}}
{{{ d / (2d + d) }}}
{{{ d / (d*(2 + 1)) }}}
Divide top and botom by {{{d}}}
{{{1/(2+1) = 1/3}}}
He was asleep for 1/3 of the whole trip