- #1

- 163

- 31

- Homework Statement
- Solve for R. $$\frac{5}{3} = \frac{0.28 + R}{R}$$

- Relevant Equations
- Use algebra I guess

The variable is already isolated on one side. I dont' know how to solve for R though. Any help? Thank you.

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In summary, the conversation is discussing how to solve for the variable R in the equation $\frac{5}{3} = \frac{0.28 + R}{R}$ using algebra. Suggestions include eliminating fractions, isolating the terms with R on one side, and simplifying the right-hand-side before solving.

- #1

- 163

- 31

- Homework Statement
- Solve for R. $$\frac{5}{3} = \frac{0.28 + R}{R}$$

- Relevant Equations
- Use algebra I guess

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- #2

- 25,786

- 17,358

Fractions are always a problem. Get rid of them!Jaccobtw said:Homework Statement::Solve for R. $$\frac{5}{3} = \frac{0.28 + R}{R}$$

Relevant Equations::Use algebra I guess

The variable is already isolated on one side. I dont' know how to solve for R though. Any help? Thank you.

- #3

- 163

- 31

Ah ok. Multiply both sides by R and then subtract R from both sides. The rest is cakePeroK said:Fractions are always a problem. Get rid of them!

- #4

Mentor

- 37,352

- 9,537

Better yet, multiply both sides of the equation by 3R, and then isolate the terms with R on one side.Jaccobtw said:Ah ok. Multiply both sides by R and then subtract R from both sides. The rest is cake

- #5

Homework Helper

- 2,461

- 158

we can either merge the R's or eliminate one

to do the later we can...

subtract one from both sides

$$\frac{5}{3} = \frac{0.28 + R}{R}$$

$$\frac{5}{3} -\frac{3}{3}= \frac{0.28 + R}{R}-\frac{R}{R}$$

- #6

- 6,773

- 2,176

Although R is only on the right-side, I would not describe that R as "isolated".Jaccobtw said:Homework Statement::Solve for R. $$\frac{5}{3} = \frac{0.28 + R}{R}$$

Relevant Equations::Use algebra I guess

The variable is already isolated on one side. I dont' know how to solve for R though. Any help? Thank you.

While true, it may be better to simplify [to reduce the number of R's one sees on]lurflurf said:

we can either merge the R's or eliminate one

to do the later we can...

subtract one from both sides

$$\frac{5}{3} = \frac{0.28 + R}{R}$$

$$\frac{5}{3} -\frac{3}{3}= \frac{0.28 + R}{R}-\frac{R}{R}$$

the right-hand-side by first distributing the [common] denominator, then simplifying further

$$\begin{align*}\frac{5}{3}

&=

\frac{0.28 + R}{R}\\

&=

\frac{0.28}{R} + 1\\

\end{align*}

$$

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