Jason purchased 14 2/3 gallons of gas on tuesday. he used 1/5 of the amount purchased commuting to and from work during the week and an additional 6 gallons running errands. how many gallons of gas does jason use for work and errands?

change 14 2/3 to and improper fraction

(14*3+2)/3 =44/3

he used 1/5 for work

44/3 * 1/5 = 44/15

                =2 14/15 gallons

he uses 6 gallons for errands

2 14/15 + 6 = 8 14 /15

8 14/15 gallons for work and errands

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.