Solve 50%x+4/5x=3.6

$$50 \% x + \frac { 4 } { 5 } x = 3.6$$

Solve for x

$$x = \frac{36}{13} = 2\frac{10}{13} \approx 2.769230769$$

Steps for Solving Linear Equation

Reduce the fraction \frac{50}{100} to lowest terms by extracting and canceling out 50.

$$\frac{1}{2}x+\frac{4}{5}x=3.6$$

Combine \frac{1}{2}x and \frac{4}{5}x to get \frac{13}{10}x.

$$\frac{13}{10}x=3.6$$

Multiply both sides by \frac{10}{13}, the reciprocal of \frac{13}{10}.

$$x=3.6\times \frac{10}{13}$$

Convert decimal number 3.6 to fraction \frac{36}{10}. Reduce the fraction \frac{36}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{18}{5}\times \frac{10}{13}$$

Multiply \frac{18}{5} times \frac{10}{13} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{18\times 10}{5\times 13}$$

Do the multiplications in the fraction \frac{18\times 10}{5\times 13}.

$$x=\frac{180}{65}$$

Reduce the fraction \frac{180}{65} to lowest terms by extracting and canceling out 5.

$$x=\frac{36}{13}$$