Solve 12/20=x/frac{65{5}}

$$\frac{ 12 }{ 20 } = \frac{ x }{ \frac{ 65 }{ 5 } }$$

Solve for x

$$x = \frac{39}{5} = 7\frac{4}{5} = 7.8$$

Steps for Solving Linear Equation

Reduce the fraction \frac{12}{20} to lowest terms by extracting and canceling out 4.

$$\frac{3}{5}=\frac{x}{\frac{65}{5}}$$

Divide x by \frac{65}{5} by multiplying x by the reciprocal of \frac{65}{5}.

$$\frac{3}{5}=\frac{x\times 5}{65}$$

Divide x\times 5 by 65 to get x\times \frac{1}{13}.

$$\frac{3}{5}=x\times \frac{1}{13}$$

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

$$x\times \frac{1}{13}=\frac{3}{5}$$

Multiply both sides by 13, the reciprocal of \frac{1}{13}.

$$x=\frac{3}{5}\times 13$$

Express \frac{3}{5}\times 13 as a single fraction.

$$x=\frac{3\times 13}{5}$$

Multiply 3 and 13 to get 39.

$$x=\frac{39}{5}$$