Is there an example to demonstrate why 1 ( 1 / 2 ) equals 2?

Question

Is there an example to demonstrate why        1          (      1              /            2      )       equals 2?

SweallySnicles3 · Accepted Answer

I know you are looking for something about pizzas but I think fractions in general work better if you work with a definition more akin to the axiomatic definition.
I mean what is

\frac{1}{π}

in terms of pizzas?
I would define

\frac{1}{x}

as the number, which when multiplied by x, gives me 1. This works fine for pizzas because, e.g.

2 \times \frac{1}{2} = 1

two half slices is the whole.
Now whatever

\frac{1}{\frac{1}{2}}

is, if I multiply it by

\frac{1}{2}

I get one so that

\frac{1}{\frac{1}{2}} \cdot \frac{1}{2} = 1...

but this is nothing other than two... (or multiply both sides of the equation on the left by two).

invioor · Accepted Answer

Use ratios.Pizza will be consumed at a rate of one person per one-half pizza.            d      P              d      Π        =            1                     person                            1        2                           pizza              .Pizza is delivered at a rate of 1 pizza per day            d      Π              d      t        =            1                     pizza                    1                     day              .To avoid an excess of pizza, we require at least            d      P              d      Π                  d      Π              d      t        =            1                     person                            1        2                           pizza              ⋅            1                     pizza                    1                     day              =  2            person              day        .

Is there an example to demonstrate why 1 ( 1 <mrow class="MJX-

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