7/12 of a cup full - what percent of the cup is empty?
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- Опубликовано: 9 сен 2024
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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.
That is only right if you presume John gives at least one correct answer... but imagine all answers are false: and they are ! Answer A (41.7 %) is quite close but is it close enough?
Say the multiple choice options are:
A. 41.7 %
B. 41.6 %
C. 41.666 %
D. 41 2/3 %
What would be your answer?
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.
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.
Calculator needed?
@@panlomito Of course! Why not? Not that I can't do it on a piece of paper. But if you remember that simple trick it helps with %.
@@aryusure1943 I will show you how:
x = 700 / 12 is what we are going to calculate old school!
What is a nearby rounded number dividable by 12: 720 ( = 60 . 12)
But then you are 20 over 700... 20/12 = 5/3 = 1 2/3
So x = 60 . 12/12 - 20/12 = 60 - 1 2/3 = 58 1/3
The rest is easy: 100 - 58 1/3 = 41 2/3 % no give or take but right on the spot.
And please don't forget to use the % sign, without it the answer is incorrect.
@@panlomito Seriously why would I need to solve this by using approximations when there is a very simple way like the cross product?
Math is complicated enough as it is, don't you think?
@@aryusure1943 Math complicated??? I don't think so, it is the most unambigious and straight forward science there is. No interpretations, the result will be the same all over the world.
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
Not a lot of choice there. Pick a percentage that is under 50%. Why not have some slightly more challenging choices?
Took over 14 minutes to explain an answer a 10 year old determined in 10 seconds
😂😂😂
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.
If you had 60% changes to 37.5% this would have been much harder to guess
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%.
The most logical and easiest way is: divide the ALL by the pieces and multiple one of the pieces by 5.
Or, more exact: 41 2/3
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.
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.
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 🙂
got it A 5/12 just a quick look...less than half A. easy thanks for the fun.
a) 41.7%
Empty part=41.7%
41,7% is empty !
a. 41.7%
41.7%
can you do more calculus
41. 7% is empty.
41.7
A. 41.7
41.7%%
A is the answer.
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)
Calculator needed?
@@panlomito NO .. mental arithmetic 5 divided by 12
12 doesn't go into 5 ... so it's 0. something carry the 5 over
12 goes into 50 four times (48) ... so it's 0.4 something carry 2 over
12 goes into 20 once (12) ... so it's 0.41 something carry 8 over
12 goes into 80 six times (72) ... so it's 0.146 something carry 8 over
and from then on 'carry 8 over' repeats giving you 0.416666666666
@@MrMousley What if the multiple choices were:
a) 41.7 %
b) 41.66666666 %
c) 41 2/3 %
d) 41.66666667 %
What would be your answer?
@@panlomito Well ... 41.7 % is the answer I was taught at school.
2/3 is 0.66666666 with the 6 going on forever, so it's better round up the first 6
and I was also taught not to express a fraction as a percentage.
@@MrMousleyIs a rounded number really better than a fraction? I don't think so.
5
5/12
I got a) 41.7%
41
No math needed. 7/12 th is greater that 50% and only one answer is less that less that 50%.
The cup is over half full, and only one answer is less than 50%... QED
0%, it is a container and by definition always contain something even if it is air.
I like your thinking !! 😁
D71%3
5/12 is not full just convert the fraction into a %
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A
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
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%
Actually 41.67% is a rounded number since the .6 is forever repeating.
@Oggiez65
And even in an Australian school, the answer would be 41.66 as it's only 1 digit repeating otherwise we would round to 2 digits
@@gboldero1 what?
@@Oggiez65
It would be expectable to cut off 1/11 to 9.09% instead of rounding it up to 9.1% and to cut off 2/3 to 66.66% instead of rounding it up to 66.67% but not 2/7 would need to be rounded to 14.29% instead of cutting of at 14.285714%
@@gboldero1 no that's not rounding it's cutting off numbers. You could write .66 if you put a line over it indicating it's a repeating number.
a
Guess A
1 - 7/12 = 5/12 = 41.7%
42%?
A is the closest
If you don't round it's 41.6666....
still want o know what happened yesterday?? you screwed up man up show everyone where you were in error
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 %.
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
Humans make mistakes. But I'd also like to see the answer. My answer was also 175616, so I'll assume that's the correct answer.
No smiley face for John. :(
guess he don't want to man up to admit he messed up
It could happen to anybody.
ZZZ.
a) 41.7%
41.7%
A
a) 41.7%
41.7%
41.7%
41.7%
A
A
A
A