Solve K=10850/frac{1{2}+1/3+1/5}

$$K = \frac { 10850 } { \frac { 1 } { 2 } + \frac { 1 } { 3 } + \frac { 1 } { 5 } }$$

Solve for K

$$K=10500$$

Steps for Solving Linear Equation

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{1}{3} to fractions with denominator 6.

$$K=\frac{10850}{\frac{3}{6}+\frac{2}{6}+\frac{1}{5}}$$

Since \frac{3}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

$$K=\frac{10850}{\frac{3+2}{6}+\frac{1}{5}}$$

Add 3 and 2 to get 5.

$$K=\frac{10850}{\frac{5}{6}+\frac{1}{5}}$$

Least common multiple of 6 and 5 is 30. Convert \frac{5}{6} and \frac{1}{5} to fractions with denominator 30.

$$K=\frac{10850}{\frac{25}{30}+\frac{6}{30}}$$

Since \frac{25}{30} and \frac{6}{30} have the same denominator, add them by adding their numerators.

$$K=\frac{10850}{\frac{25+6}{30}}$$

Add 25 and 6 to get 31.

$$K=\frac{10850}{\frac{31}{30}}$$

Divide 10850 by \frac{31}{30} by multiplying 10850 by the reciprocal of \frac{31}{30}.

$$K=10850\times \frac{30}{31}$$

Express 10850\times \frac{30}{31} as a single fraction.

$$K=\frac{10850\times 30}{31}$$

Multiply 10850 and 30 to get 325500.

$$K=\frac{325500}{31}$$

Divide 325500 by 31 to get 10500.

$$K=10500$$

Assign K

$$K≔10500$$