Solve 1/0.647+1/90=1/R

$$\frac { 1 } { 0.647 } + \frac { 1 } { 90 } = \frac { 1 } { R }$$

Solve for R

$$R=\frac{58230}{90647}\approx 0.642381987$$

Steps for Solving Linear Equation

Variable R cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 90R, the least common multiple of 90,R.

$$90R\times \frac{1}{0.647}+90R\times \frac{1}{90}=90$$

Expand \frac{1}{0.647} by multiplying both numerator and the denominator by 1000.

$$90R\times \frac{1000}{647}+90R\times \frac{1}{90}=90$$

Express 90\times \frac{1000}{647} as a single fraction.

$$\frac{90\times 1000}{647}R+90R\times \frac{1}{90}=90$$

Multiply 90 and 1000 to get 90000.

$$\frac{90000}{647}R+90R\times \frac{1}{90}=90$$

Cancel out 90 and 90.

$$\frac{90000}{647}R+R=90$$

Combine \frac{90000}{647}R and R to get \frac{90647}{647}R.

$$\frac{90647}{647}R=90$$

Multiply both sides by \frac{647}{90647}, the reciprocal of \frac{90647}{647}.

$$R=90\times \frac{647}{90647}$$

Express 90\times \frac{647}{90647} as a single fraction.

$$R=\frac{90\times 647}{90647}$$

Multiply 90 and 647 to get 58230.

$$R=\frac{58230}{90647}$$