Post History
#3: Post edited
by
Chgg Clou
·
2020-11-20T07:22:25Z (almost 4 years ago)
- For intuition, I instantiate variables with fruits: $a$ as apple and $b$ as berry (pick whatever berry you like).
In terms of apples and/or berries, what does the red $\color{red}{1}$ mean below mean? What's the unit of $\color{red}{1}$?- $\dfrac{a}{b} \quad = \quad\dfrac{\color{red}{1}}{\dfrac{b}{a}}$.
- Unmistakably, I know $\dfrac{a}{b}$ means $\dfrac{\text{apple}}{\text{1 berry}}$, and $b/a$ means $\dfrac{\text{berry}}{\text{1 apple}}$.
- I ask only for intuition. Please pretermit formal arguments and proofs. E.g. please don't [rely on rationalizing the denominator](https://math.stackexchange.com/q/391528/53259) .
- For intuition, I instantiate variables with fruits: $a$ as apple and $b$ as berry (pick whatever berry you like).
- In terms of apples and/or berries, what does the red $\color{red}{1}$ below mean? What's the unit of $\color{red}{1}$?
- $\dfrac{a}{b} \quad = \quad\dfrac{\color{red}{1}}{\dfrac{b}{a}}$.
- Unmistakably, I know $\dfrac{a}{b}$ means $\dfrac{\text{apple}}{\text{1 berry}}$, and $b/a$ means $\dfrac{\text{berry}}{\text{1 apple}}$.
- I ask only for intuition. Please pretermit formal arguments and proofs. E.g. please don't [rely on rationalizing the denominator](https://math.stackexchange.com/q/391528/53259) .
#2: Post edited
by
Chgg Clou
·
2020-11-20T07:22:04Z (almost 4 years ago)
Intuitively, what does the 1 mean in Intuitively in $\dfrac{a}{b} = \dfrac{1}{\frac{b}{a}}$?
- Intuitively, what does the 1 mean in $\dfrac{a}{b} = \dfrac{1}{\frac{b}{a}}$?
#1: Initial revision
by
Chgg Clou
·
2020-11-20T07:21:54Z (almost 4 years ago)
Intuitively, what does the 1 mean in Intuitively in $\dfrac{a}{b} = \dfrac{1}{\frac{b}{a}}$?
For intuition, I instantiate variables with fruits: $a$ as apple and $b$ as berry (pick whatever berry you like).
In terms of apples and/or berries, what does the red $\color{red}{1}$ mean below mean? What's the unit of $\color{red}{1}$?
$\dfrac{a}{b} \quad = \quad\dfrac{\color{red}{1}}{\dfrac{b}{a}}$.
Unmistakably, I know $\dfrac{a}{b}$ means $\dfrac{\text{apple}}{\text{1 berry}}$, and $b/a$ means $\dfrac{\text{berry}}{\text{1 apple}}$.
I ask only for intuition. Please pretermit formal arguments and proofs. E.g. please don't [rely on rationalizing the denominator](https://math.stackexchange.com/q/391528/53259) .