How to make sense of fractions concretely I can solve fractions abstractly, for example,

Audrina Jackson 2022-07-13 Answered
How to make sense of fractions concretely
I can solve fractions abstractly, for example, 5 2 divided by 3 2 , you can flip 3 2 so that 5 2 multiplied by 2 3 . Specifically, math makes sense abstractly, but concretely it just won't make sense, like in word problems. I understand the concept of complex fractions I know how to solve them, but by applying it on practical use such as a shape it does not make sense. How to make sense of fractions concretely?? or perhaps there is a book that you can advice me that help solve this problem
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Answers (2)

Kaylie Mcdonald
Answered 2022-07-14 Author has 19 answers
So what you would like to know is why
a b c d = a d b c
to understand this you first need to understand 1 x x = 1. Knowng this we can see c d 1 c d = 1 1 c d = d c (just assume c d is x).
Therefore a b c d = a b 1 c d = a b d c = a d b c
as desired.

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Maliyah Robles
Answered 2022-07-15 Author has 1 answers
In general, a b denotes the quantity x, which when multiplied by b gives a. In fact, this is the correct way to interpret a b
In your case, 5 / 2 3 / 2 denotes the quantity x, which when multiplied by 3 2 gives us 5 2 , i.e.,
3 2 x = 5 2 x = 5 3

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