Solve 2/11+11/60=1/x

$$\frac{ 2 }{ 11 } + \frac{ 11 }{ 60 } = \frac{ 1 }{ x }$$

Solve for x

$$x = \frac{660}{241} = 2\frac{178}{241} \approx 2.738589212$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 660x, the least common multiple of 11,60,x.

$$660x\times \frac{2}{11}+660x\times \frac{11}{60}=660$$

Express 660\times \frac{2}{11} as a single fraction.

$$\frac{660\times 2}{11}x+660x\times \frac{11}{60}=660$$

Multiply 660 and 2 to get 1320.

$$\frac{1320}{11}x+660x\times \frac{11}{60}=660$$

Divide 1320 by 11 to get 120.

$$120x+660x\times \frac{11}{60}=660$$

Express 660\times \frac{11}{60} as a single fraction.

$$120x+\frac{660\times 11}{60}x=660$$

Multiply 660 and 11 to get 7260.

$$120x+\frac{7260}{60}x=660$$

Divide 7260 by 60 to get 121.

$$120x+121x=660$$

Combine 120x and 121x to get 241x.

$$241x=660$$

Divide both sides by 241.

$$x=\frac{660}{241}$$