SOLUTION: I am stumped on this word problem. If it takes 5 3/4 hours to get from point A to point B and you have already traveled 1/3 of the way, how much longer will you travel? I convert

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Question 1045704: I am stumped on this word problem. If it takes 5 3/4 hours to get from point A to point B and you have already traveled 1/3 of the way, how much longer will you travel?
I converted 5 3/4 to and improper fraction 23/4 and multiplied it by the reciprical of 1/3 and got an answer of 69/4.
here is my problem because the answer key has an answer of 3 5/6. Can you help me?

Found 2 solutions by rothauserc, ankor@dixie-net.com:
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
we want to divide 5.75 by 3 = 1.9167 approx 1.92(that's how long you have traveled), then
:
5.75 - 1.92 = 3.83
:
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You will travel 3.83 hours longer
:
note that 3 5/6 is approx 3.83
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:

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
f it takes 5 3/4 hours to get from point A to point B and you have already traveled 1/3 of the way, how much longer will you travel?
I converted 5 3/4 to and improper fraction 23/4
Here is your mistake "multiplied it by the reciprocal of 1/3"
You have already traveled 1/3 therefore you have 2/3 to go, hence
2%2F3 * 23%2F4 = 46%2F12 = 310%2F12 reduces to 35%2F6