anonymous one year ago Another question!

1. anonymous

$\frac{1}{\frac{1}{(\frac{1}{2})^{1}}+\frac{1}{(\frac{1}{2})^{2}}+\frac{1}{(\frac{1}{2})^{3}}}$

2. anonymous

Simplify to common fraction

3. mathmath333

$$\Large \dfrac{1}{\dfrac{1}{(\dfrac{1}{2})^{1}}+\dfrac{1}{(\dfrac{1}{2})^{2}}+\dfrac{1}{(\dfrac{1}{2})^{3}}}$$

4. Vocaloid

start from the lowest level and work your way up 1/(1/2) = 2 1/(1/2)^2 = 4 1/(1/2)^3 = 8 1/(2+4+8) = ?

5. mathmath333

$\Huge \begin{array}l\color{red}{\text{W}}\color{orange}{\text{e}}\color{#E6E600}{\text{l}}\color{green}{\text{c}}\color{blue}{\text{o}}\color{purple}{\text{m}}\color{purple}{\text{e}}\color{red}{\text{ }}\color{orange}{\text{t}}\color{#E6E600}{\text{o}}\color{green}{\text{ }}\color{blue}{\text{O}}\color{purple}{\text{p}}\color{purple}{\text{e}}\color{red}{\text{n}}\color{orange}{\text{S}}\color{#E6E600}{\text{t}}\color{green}{\text{u}}\color{blue}{\text{d}}\color{purple}{\text{y}}\color{purple}{\text{ }}\color{red}{\text{!}}\color{orange}{\text{}}\end{array}$

6. Nnesha

nice voc! get rid of d ugly fraction lol flip the fraction to change division to multiplication $\frac{ 1 }{ \frac{ 1 }{ 2 }} = 1 \times 2$ like this