Question

solve for s:
1/r=1/s+1/t

Answer 1

use the LCD again :)

Answer 2

$$
\cfrac{1}{r}=\cfrac{1}{s}+\cfrac{1}{t} \implies \cfrac{1}{r}-\cfrac{1}{t}=\cfrac{1}{s}\\
\cfrac{1}{r}-\cfrac{1}{t} \color{blue}{\ add\ this}\\
\text{when done multiply both sides by }\color{blue}{s}
$$

Answer 3

hmm... one sec

Answer 4

well, you'd need to multiply for more than just "s"

Answer 5

$$
\cfrac{1}{r}=\cfrac{1}{s}+\cfrac{1}{t} \implies \cfrac{1}{r}-\cfrac{1}{t}=\cfrac{1}{s}\\
\cfrac{1}{r}-\cfrac{1}{t} \color{blue}{\ add\ this}\\
\text{when done multiply both sides by }\\
\cfrac{\boxed{\alpha}}{\boxed{\theta}}=\cfrac{1}{s} \color{blue}{\times
\cfrac{\boxed{\theta}}{\boxed{\alpha}}\times \cfrac{s}{1}}
$$

Answer 6

theansweri got was \[s=\frac{ 1 }{ (1/t)-(1/r)}\]

Answer 7

lemme check

Answer 8

in rational form, it'd be
$$
\large s=\cfrac{1}{\frac{1}{r}-\frac{1}{t}}
$$

Answer 9

but I assume you're still expected to further rationalize the bottom fraction

Answer 10

no idont think i do

Answer 11

ok :)