Solve 1/5+1/6=1/t

$$\frac { 1 } { 5 } + \frac { 1 } { 6 } = \frac { 1 } { t }$$

Solve for t

$$t = \frac{30}{11} = 2\frac{8}{11} \approx 2.727272727$$

Steps for Solving Linear Equation

Variable t cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 30t, the least common multiple of 5,6,t.

$$30t\times \frac{1}{5}+30t\times \frac{1}{6}=30$$

Multiply 30 and \frac{1}{5} to get \frac{30}{5}.

$$\frac{30}{5}t+30t\times \frac{1}{6}=30$$

Divide 30 by 5 to get 6.

$$6t+30t\times \frac{1}{6}=30$$

Multiply 30 and \frac{1}{6} to get \frac{30}{6}.

$$6t+\frac{30}{6}t=30$$

Divide 30 by 6 to get 5.

$$6t+5t=30$$

Combine 6t and 5t to get 11t.

$$11t=30$$

Divide both sides by 11.

$$t=\frac{30}{11}$$