Solve 1/c=1/45+1/8=

$$\frac { 1 } { c } = \frac { 1 } { 45 } + \frac { 1 } { 8 } =$$

Solve for c

$$c = \frac{360}{53} = 6\frac{42}{53} \approx 6.79245283$$

Steps for Solving Linear Equation

Variable c cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 360c, the least common multiple of c,45,8.

$$360=360c\times \frac{1}{45}+360c\times \frac{1}{8}$$

Multiply 360 and \frac{1}{45} to get \frac{360}{45}.

$$360=\frac{360}{45}c+360c\times \frac{1}{8}$$

Divide 360 by 45 to get 8.

$$360=8c+360c\times \frac{1}{8}$$

Multiply 360 and \frac{1}{8} to get \frac{360}{8}.

$$360=8c+\frac{360}{8}c$$

Divide 360 by 8 to get 45.

$$360=8c+45c$$

Combine 8c and 45c to get 53c.

$$360=53c$$

Swap sides so that all variable terms are on the left hand side.

$$53c=360$$

Divide both sides by 53.

$$c=\frac{360}{53}$$