Andy has 11/12 of a cake he eats 1/3 of it how much is left?
- Posted:
- 3+ months ago by devildoll
- Topics:
- left, cake, andy, mathematics
Answers (2)
r = rest of the cake
r = 11/12 - 1/3 ,,, find a common denominator: (1/3)(4/4)= 4/12
r = 11/12 - 4/12
r = 7/12
So, 7/12 of the cake is left.
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Initially 1/12 is already missing (devoured by the dog), which is one third of a quarter. From the remaining 3/3 - (1/4)/3 Andy eats 1/3.
Thus
r = 3/3 - (1/4)/3 - 1/3
r = (2 - (1/4)) / 3
r = ((8/4) - (1/4)) / 3
r = (7/4) / 3
r = 7 / (4 * 3)
r = 7/12
I just thought this to be more intuitive.
Your question appears to be arithmetic, but your problem appears to be English. "It" is a pronoun referring to the last preceding qualified noun, and that is "cake". 1/3 of a cake equals 4/12 of a cake, so 11/12 - 4/12 = 7/12 remaining. That is probably not what the composer of the problem meant, but that is what he wrote.
Get a ruler in your hands. Measure things until you start to understand how a ruler works. Measure some stuff and figure out where the center is. Say you measure a book and it's 7/8" thick. You look at your ruler and see that every eighth is divided into two sixteenths, so obviously half of 7/8" is going to be 7/16". If you write that out you have 1/2 x 7/8 = 7/16. And you notice that 1/2 is divided into 2/4 and then into 4/8 and so on, so you can convert anything to anything by multiplying all the numbers on top and then all the numbers on bottom.
Other rulers are divided into 10 and 100 parts. But an inch is still an inch, so anything on one ruler can be translated to the other ruler. A half inch on one ruler is 5/10 or 50/100 on the other. An eighth inch is just 12.5 marks when you have 100 marks per inch. A metric ruler divides an inch into 25.4 parts, so a half inch would be 12.7 of those parts. Pretty simple, isn't it? Practice this a bit and people will think you went to wizard school.