Subtracting or Multiplying Fractions 3 4 − 1 2 This is the given scenario to...

antennense

antennense

Answered

2022-07-07

Subtracting or Multiplying Fractions 3 4 1 2
This is the given scenario to help visualize the problem at hand. A bird feeder is filled with 3 4 of a full bag of seeds. The birds ate 1 2 of what was in the bird feeder. What fraction of a full bag of bird seed is left in the bird feeder?
The previous scenario involved the same numbers but it asked what fraction of a full bag of bird seed were eaten. I was able to concluded that 3 8 of the full bag of seeds was eaten. You are not able to use the formula: 3 4 1 2 on this scenario because you are taking fractions of each other, not just the whole bag of seeds.
Does that justification sound correct? With that justification, how could I solve the question that is asking for the fraction of a full bag of bird seed left in the feeder? Could I use 3 4 1 2 to answer that? I know that 3 4 1 2 = 1 4 but that is not seeming like a correct answer to the scenario. Please help me, I don't completely understand this.

Answer & Explanation

SweallySnicles3

SweallySnicles3

Expert

2022-07-08Added 21 answers

Well the important thing, when dealing with fractions of stuff, is not just the fraction itself but what the fraction is of. 1 2 of the distance to your closest library is far less than 1 2 of the distance to the moon (I hope).
In this assignment, you've got 3 4 of a bag of seeds on the feeder, and half of that is eaten. That means the birds eat 1 2 (a half = 0.5 = 50%) of what's in the feeder, not 1 2 of the whole bag, hence 3 4 × 1 2 = 3 8 . Simple subtraction won't give the correct result because the two fractions are of different things: 1 2 is a fraction of the seeds on the feeder while 3 4 is a fraction of the entire bag of seeds.

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