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

Sonia Ayers

Sonia Ayers

Answered

2022-07-03

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

Answer & Explanation

SweallySnicles3

SweallySnicles3

Expert

2022-07-04Added 21 answers

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 1 π in terms of pizzas?
I would define 1 x as the number, which when multiplied by x, gives me 1. This works fine for pizzas because, e.g. 2 × 1 2 = 1 two half slices is the whole.
Now whatever 1 1 2 is, if I multiply it by 1 2 I get one so that
1 1 2 1 2 = 1...
but this is nothing other than two... (or multiply both sides of the equation on the left by two).
invioor

invioor

Expert

2022-07-05Added 3 answers

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 .

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