How to make sense of fractions concretelyI 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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How to make sense of fractions concretelyI 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&#039;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

Kaylie Mcdonald · Accepted Answer

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.

Maliyah Robles · Accepted Answer

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

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

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