A gallon jug of milk is 3/4 full. After breakfast the jug is 1/12 full. Find the difference of the amounts before breakfast and after breakfast.
3/4 = 9/12
9/12 - 1/12 = 8/12 = 2/3 gallon used at breakfast
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To find the difference of the amounts before breakfast and after breakfast, we need to subtract the amount of milk after breakfast from the amount before breakfast.
Let's start by finding the amount of milk in the gallon jug before breakfast. We are given that the jug is 3/4 full. Since a gallon is divided into 4 equal parts, each part represents 1/4 of the gallon. Multiplying 1/4 by 3 gives us 3/4 of a gallon.
So, before breakfast, the jug contained 3/4 of a gallon of milk.
Next, let's find the amount of milk in the gallon jug after breakfast. We are told that the jug is 1/12 full. Again, considering that a gallon is divided into 12 equal parts, each part represents 1/12 of the gallon. Multiplying 1/12 by 1 gives us 1/12 of a gallon.
So, after breakfast, the jug contained 1/12 of a gallon of milk.
To calculate the difference, we subtract the amount of milk after breakfast from the amount before breakfast:
3/4 - 1/12 = (3/4) - (1/12)
To perform this subtraction, we need a common denominator. The least common multiple of 4 and 12 is 12.
Now, let's rewrite the fractions using the common denominator:
3/4 = 9/12
1/12 remains the same.
Subtracting these fractions gives us:
9/12 - 1/12 = 8/12
Simplifying the fraction by dividing both numerator and denominator by their greatest common divisor, which is 4, gives:
8/12 = 2/3
Therefore, the difference between the amounts before breakfast and after breakfast is 2/3 of a gallon of milk.