There was a question:
A gallon jug of milk is 3/4 full. After breakfast, you drink 1/12 of the milk. What fraction is the gallon is left?
And here was my answer:
1/12 drank --> 11/12 left
3/4*11/12=11/16
But I got the question wrong.
Did I get it wrong?
I got it correct, right?
Please tell me if this is right/wrong and if it is wrong, tell me what is wrong about it!!
Your approach to solving the problem is correct, but there is a small error in your calculation. Let's break it down step by step to clarify.
The question states that a gallon jug of milk is 3/4 full, and you drink 1/12 of the milk. To find the fraction that is left, you need to subtract the fraction you drank from the original fraction of the jug that is full.
The fraction you drank is 1/12, which means that 1/12 of the jug is now empty. To find the fraction that is left, you subtract 1/12 from 3/4:
3/4 - 1/12 = (9/12) - (1/12) = 8/12 = 2/3
Therefore, the correct fraction of the gallon that is left is 2/3.
In your calculation, you multiplied 3/4 by 11/12 instead of subtracting it. Multiplying 3/4 by 11/12 gives you 33/48, which simplifies to 11/16. This calculation represents 11/16 of the full gallon, but you wanted to find the fraction that is left, not the fraction that was consumed.
So, to summarize, your approach was correct, but there was a calculation error in the final step. The correct answer is 2/3.