Solve 1/2+1/6*5=1/t

$$\frac{ 1 }{ 2 } + \frac{ 1 }{ 6 \cdot 5 } = \frac{ 1 }{ t }$$

Solve for t

$$t = \frac{15}{8} = 1\frac{7}{8} = 1.875$$

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 2t, the least common multiple of 2,t.

$$2t\times \frac{1}{2}+\frac{1}{15}t=2$$

Cancel out 2 and 2.

$$t+\frac{1}{15}t=2$$

Combine t and \frac{1}{15}t to get \frac{16}{15}t.

$$\frac{16}{15}t=2$$

Multiply both sides by \frac{15}{16}, the reciprocal of \frac{16}{15}.

$$t=2\times \frac{15}{16}$$

Express 2\times \frac{15}{16} as a single fraction.

$$t=\frac{2\times 15}{16}$$

Multiply 2 and 15 to get 30.

$$t=\frac{30}{16}$$

Reduce the fraction \frac{30}{16} to lowest terms by extracting and canceling out 2.

$$t=\frac{15}{8}$$