Solve 1/6+1/15=1/t

$$\frac { 1 } { 6 } + \frac { 1 } { 15 } = \frac { 1 } { t }$$

Solve for t

$$t = \frac{30}{7} = 4\frac{2}{7} \approx 4.285714286$$

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 6,15,t.

$$30t\times \frac{1}{6}+30t\times \frac{1}{15}=30$$

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

$$\frac{30}{6}t+30t\times \frac{1}{15}=30$$

Divide 30 by 6 to get 5.

$$5t+30t\times \frac{1}{15}=30$$

Multiply 30 and \frac{1}{15} to get \frac{30}{15}.

$$5t+\frac{30}{15}t=30$$

Divide 30 by 15 to get 2.

$$5t+2t=30$$

Combine 5t and 2t to get 7t.

$$7t=30$$

Divide both sides by 7.

$$t=\frac{30}{7}$$