Solve 3/10/24x=2/5/frac{396{115}}

$$\frac { \frac { 3 } { 10 } } { 24 x } = \frac { \frac { 2 } { 5 } } { \frac { 396 } { 115 } }$$

Solve for x

$$x=\frac{99}{920}\approx 0.107608696$$

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 24x.

$$\frac{3}{10}=24x\times \frac{\frac{2}{5}}{\frac{396}{115}}$$

Divide \frac{2}{5} by \frac{396}{115} by multiplying \frac{2}{5} by the reciprocal of \frac{396}{115}.

$$\frac{3}{10}=24x\times \frac{2}{5}\times \frac{115}{396}$$

Multiply \frac{2}{5} and \frac{115}{396} to get \frac{23}{198}.

$$\frac{3}{10}=24x\times \frac{23}{198}$$

Multiply 24 and \frac{23}{198} to get \frac{92}{33}.

$$\frac{3}{10}=\frac{92}{33}x$$

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

$$\frac{92}{33}x=\frac{3}{10}$$

Multiply both sides by \frac{33}{92}, the reciprocal of \frac{92}{33}.

$$x=\frac{3}{10}\times \frac{33}{92}$$

Multiply \frac{3}{10} and \frac{33}{92} to get \frac{99}{920}.

$$x=\frac{99}{920}$$