Solve R_{T}=1/frac{1{4}+1/6+1/2}

$$R _ { T } = \frac { 1 } { \frac { 1 } { 4 } + \frac { 1 } { 6 } + \frac { 1 } { 2 } }$$

Solve for R_T

$$R_{T} = \frac{12}{11} = 1\frac{1}{11} \approx 1.090909091$$

Steps for Solving Linear Equation

Least common multiple of 4 and 6 is 12. Convert \frac{1}{4} and \frac{1}{6} to fractions with denominator 12.

$$R_{T}=\frac{1}{\frac{3}{12}+\frac{2}{12}+\frac{1}{2}}$$

Since \frac{3}{12} and \frac{2}{12} have the same denominator, add them by adding their numerators.

$$R_{T}=\frac{1}{\frac{3+2}{12}+\frac{1}{2}}$$

Add 3 and 2 to get 5.

$$R_{T}=\frac{1}{\frac{5}{12}+\frac{1}{2}}$$

Least common multiple of 12 and 2 is 12. Convert \frac{5}{12} and \frac{1}{2} to fractions with denominator 12.

$$R_{T}=\frac{1}{\frac{5}{12}+\frac{6}{12}}$$

Since \frac{5}{12} and \frac{6}{12} have the same denominator, add them by adding their numerators.

$$R_{T}=\frac{1}{\frac{5+6}{12}}$$

Add 5 and 6 to get 11.

$$R_{T}=\frac{1}{\frac{11}{12}}$$

Divide 1 by \frac{11}{12} by multiplying 1 by the reciprocal of \frac{11}{12}.

$$R_{T}=1\times \frac{12}{11}$$

Multiply 1 and \frac{12}{11} to get \frac{12}{11}.

$$R_{T}=\frac{12}{11}$$

Assign R_T

$$R_{T}≔\frac{12}{11}$$