7/12 of a cup full - what percent of the cup is empty? 

I think you should make the answer choices a little bit more challenging. Without doing the math, the answer has to be below 50 percent since 7/12 is filled. So the answer has to be (a)-41.7 percent. All the other choices makes absolutely no sense at all since it exceeds 50 percent.

A lot of people complain about the length of time for explanations here. My limited brain power enjoys the length y instruction as it brings about understanding . I have not been in school for over 50 years and memory needs kick starting thanks Mister Math Man.

Numerator divided by denominator results in decimal fraction. 7/12th = .583 and that times 100 = 58.3 percent 100% (total) - 58.3% (filled) = 41.7% (empty). Total - Filled = Empty

If I may there is another way I always use when I have to figure out %. I use what you call the cross product. 7/12 = x/100. 700 = 12x 700/12 = 58.33% The rest is easy. 100 - 58.33 = 41.7, give or take. It's easy to remember. If I have 10 for 20, what is x for 100. Cross product = 1000/20 = 50.

Greetings. The only answer that seems correct by doing a rough calculation in my head is 41.7%. This is what I have done. First, we need to recognize that the container is 5/12 empty, multiplying this number by 100 gives the answer. Mentally I don't want to strain myself with determining the exact value of 500/12. Therefore, I simply say 100/12 equals 8 something, multiplying 8 by 5 gives 40 and since 40% is relatively close 41. 7%, the answer must be 41. 7%. With having concluded the answer, I now realize it would not have been much strain at all. 100/12=8 and 4/12 or 8 and 1/3 equals 8.3333. Multiplying 8.33 by 5 gives 41.65 rounded up to 41. 7%.

Not a lot of choice there. Pick a percentage that is under 50%. Why not have some slightly more challenging choices?

At the title, my answer is a) 41.7%. y/12 is more than half full. Therefore, the empty part has to be less sthan 50%, and 4.7 is the only choice that is smaller than half.

Or, more exact: 41 2/3

If you had 60% changes to 37.5% this would have been much harder to guess

to 1dp it would be 41.7% it should be 41.6 with a dot above the 6 denoting that is goes on for infinity.

Took over 14 minutes to explain an answer a 10 year old determined in 10 seconds

Dear sir! The answer I got was, 58% full, and 42% empty!

In these cases I find it easer to look at this type of question by finding what 1/12 is as a percentage (100/12) then x 5 , btw I do agree with the comments, the explanation should not last over 14 mins but mathematically speaking the YT algorithm is probably the cause 🙂

You really would do well to think a bit more about your multiple choice options. This is another one where you can immediately eliminate 3 of the 4 by trivial inspection. The empty proportion is less than half and only one of the options for the answer is below 50%. If you want to teach mathematics, why not choose questions that actually require some mathematics to get to the answer.

got it A 5/12 just a quick look...less than half A. easy thanks for the fun.

The most logical and easiest way is: divide the ALL by the pieces and multiple one of the pieces by 5.

41.7%

can you do more calculus

a) 41.7%

41.7

Empty part=41.7%

a. 41.7%

41.7%%

41,7% is empty !

A. 41.7

A

5

5/12

A is the answer.

I got a) 41.7%

41. 7% is empty.

The cup is over half full, and only one answer is less than 50%... QED

41

7/12 empty means 5/12 full ... which is smaller than 1/2 and answer a) is the only one smaller than 1/2 However .. to work it out .. 5/12 = 0.416666666666666 and 0.417 x 100 = 41.7% answer a)

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No math needed. 7/12 th is greater that 50% and only one answer is less that less that 50%.

D71%3

1/12 is more or less 8.5% (8x12 plus .5 x 12 is 102 ) so 7/12 must be 59.5, so it's probably 41.7 % empty. If you took longer than 15 secs to go that in your head, perhaps you should try art instead

a

7/12= 58.33 % 100.00%-58.33 % =41.67%. You have rounded it up to 41.7%. You would be wrong in an australian Primary school unless specified in the question to round up .BTW did it with a pencil and paper. Ans. is 41.67%

Guess A

0%, it is a container and by definition always contain something even if it is air.

5/12 is not full just convert the fraction into a %

42%?

Stupid multiple choice again... you don't have to calculate anything, just recognize the painful simple fact that 7/12 is more than 50% and 5/12 is less than 50% (with 6/12 is 50%) and the ultimate stupid multiple choice gives only one answer below 50%... But we are here for math and so we will do math: What percentage is 5/12 ??? The most easy way is to raise the denominator to 100 then also multiply the numerator with this number and this will be the answer in percentage: y/100 = y % To get from 12 to 100 we have to multiply by x... with x = 100/12 = 96/12 + 4/12 = 8 1/3 Now we have to multiply the numerator also with 8 1/3: 5 x 8 1/3 = 40 + 5/3 = 41 2/3 So the correct answer to this question is not 41.7 % but 41 2/3 %.

still want o know what happened yesterday?? you screwed up man up show everyone where you were in error

When are you going to correct your previous problem today where you changed from a cubed to a squared value mid-way (@9:55) through? I guess you're too embarrassed to correct it. I see it's gone now. The original problem was: 2exp3(5exp2+3)exp3 Ans. 175616 Your incorrect ans. was 6272

ZZZ.

1 - 7/12 = 5/12 = 41.7%

41.7%

a) 41.7%

A

41.7%

41.7%

41.7%

a) 41.7%

A

A

A

A

A