Simple Fractions Question

Maddiecow

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Feb 27, 2019
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Hi I am sorry to post such a basic question, but I have overcomplicated a simple sum and have now got myself very confused. The question related to various travel times which when added together come to 8:15hrs or 8 and one quarter. I need to find the percentage of 1 hour of this jpurney and put it into fractions, decimals and percentages.
Part of me is saying multiply the 8 by 60 to get minutes, add the extra 15 and you have 495 mins. Divide this by 60 and you get 8.25%. The other part of me is saying divide by 100 and get 4.95. If you divide 60 by 4.95 you then get 12.12 so this answer is 12.12% which I am struggling to turn into a fraction. Then I argue reason in my head saying if the original journey only took 8 hours instead of 8:15hrs 15 mins, I hour would clearly be one 8th so the answer can't possibly be 12.12%

Can someone please help? I would appreciate someone explaining what I am doing wrong, so I can learn rather than just tell me the answer if thats ok. Its such a simple thing and I have got myself really confused. Thank you for taking the time to read this post and hopefully helping. I hope I have posted it into the right section.
 

tkhunny

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So, you're saying you would buy 1/8 = 0.125 = 12.5%. That's good.

Why can't 12.12% be good? Are you expecting a LONGER trip to produce a GREATER percentage? Hmm...

1/(8 + More) < 1/8 -- you should get a smaller percentage.

You can use minutes if you like. Hours is also fine. 15 minutes is 15/60 hr = 1/4 hr = 0.25 hr

Tell me again why "the answer can't possibly be 12.12%".
 

Dr.Peterson

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Nov 12, 2017
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Dividing 495 by 60 was wrong; that's in the wrong direction. But dividing 60 by 495 is correct.

And if you do that in terms of fractions rather than decimals, you will get the fractional form of answer that you need - there is no need to get to fractions from the percent form. That is, just simplify 60/495.
 

Jomo

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Dec 30, 2014
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% means divide by 100, so x% means x/100 REGARDLESS of the value of x
So 12.12% = 12.12/100 = 1212/10000. You can reduce this last fraction to ....?
 

Dr.Peterson

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Nov 12, 2017
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% means divide by 100, so x% means x/100 REGARDLESS of the value of x
So 12.12% = 12.12/100 = 1212/10000. You can reduce this last fraction to ....?
Keep in mind, though, that the 12.12 has been rounded, so this will not give an exact answer. As I said, the better thing to do is to simplify 60/495.
 
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