Solve x/frac{4{5}}=5/frac{13{65}}

$$\frac { x } { \frac { 4 } { 5 } } = \frac { 5 } { \frac { 13 } { 65 } }$$

Solve for x

$$x=20$$

Steps for Solving Linear Equation

Divide 5 by \frac{13}{65} by multiplying 5 by the reciprocal of \frac{13}{65}.

$$\frac{x}{\frac{4}{5}}=\frac{5\times 65}{13}$$

Multiply 5 and 65 to get 325.

$$\frac{x}{\frac{4}{5}}=\frac{325}{13}$$

Divide 325 by 13 to get 25.

$$\frac{x}{\frac{4}{5}}=25$$

Multiply both sides by \frac{4}{5}.

$$x=25\times \frac{4}{5}$$

Express 25\times \frac{4}{5} as a single fraction.

$$x=\frac{25\times 4}{5}$$

Multiply 25 and 4 to get 100.

$$x=\frac{100}{5}$$

Divide 100 by 5 to get 20.

$$x=20$$