Jamal filled his gas tank and then used #7/16# of the tank for traveling to visit his grandfather. He then used #1/3# of the remaining gas in the tank to run errands around town. What fraction of the tank is filled?

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Answer 1 · 2016-09-06T10:20:15

#3/8# of the tank was left (filled)

After first journey the amount of fuel left was #1-7/16=9/16#

#1/3# of this was then used on the second journey meaning that #2/3# of it was left.

Final amount left was:

Note that #3xx16# is the same value as #16xx3#

#2/3xx9/16 -> 2/16xx9/3#

# = 1/8xx3#

# = 3/8#