Question #f38e9
1 Answer
Dec 9, 2017
Explanation:
The total distance Ginny hikes in the first two days is:
#4 3/4 + 5 1/2 = 4+3/4+5+1/2#
#color(white)(4 3/4 + 5 1/2) = 16/4+3/4+20/4+2/4#
#color(white)(4 3/4 + 5 1/2) = (16+3+20+2)/4#
#color(white)(4 3/4 + 5 1/2) = 41/4# miles
So the total distance that remains for the third day is:
#13 2/3 - 41 / 4 = (39/3 + 2/3) - 41/4#
#color(white)(13 2/3 - 41 / 4) = 41/3 - 41/4#
#color(white)(13 2/3 - 41 / 4) = (41 xx 4)/12 - (41 xx 3)/12#
#color(white)(13 2/3 - 41 / 4) = ((41 xx 4) - (41 xx 3))/12#
#color(white)(13 2/3 - 41 / 4) = (41(4-3))/12#
#color(white)(13 2/3 - 41 / 4) = 41/12#
As a fraction of the total distance, that is:
#41/12 -: 13 2/3 = color(red)(cancel(color(black)(41)))/12 xx 3/color(red)(cancel(color(black)(41))) = 3/12 = 1/4#
