Solve R_{T}=1/frac{1{2}+1/4+1/2}

$$R _ { T } = \frac { 1 } { \frac { 1 } { 2 } + \frac { 1 } { 4 } + \frac { 1 } { 2 } }$$

Solve for R_T

$$R_{T}=\frac{4}{5}=0.8$$

Steps for Solving Linear Equation

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{1}{4} to fractions with denominator 4.

$$R_{T}=\frac{1}{\frac{2}{4}+\frac{1}{4}+\frac{1}{2}}$$

Since \frac{2}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$R_{T}=\frac{1}{\frac{2+1}{4}+\frac{1}{2}}$$

Add 2 and 1 to get 3.

$$R_{T}=\frac{1}{\frac{3}{4}+\frac{1}{2}}$$

Least common multiple of 4 and 2 is 4. Convert \frac{3}{4} and \frac{1}{2} to fractions with denominator 4.

$$R_{T}=\frac{1}{\frac{3}{4}+\frac{2}{4}}$$

Since \frac{3}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.

$$R_{T}=\frac{1}{\frac{3+2}{4}}$$

Add 3 and 2 to get 5.

$$R_{T}=\frac{1}{\frac{5}{4}}$$

Divide 1 by \frac{5}{4} by multiplying 1 by the reciprocal of \frac{5}{4}.

$$R_{T}=1\times \frac{4}{5}$$

Multiply 1 and \frac{4}{5} to get \frac{4}{5}.

$$R_{T}=\frac{4}{5}$$

Assign R_T

$$R_{T}≔\frac{4}{5}$$