Solve 13/x=11/5:11/3

$$1 \frac { 3 } { x } = 1 \frac { 1 } { 5 } : 1 \frac { 1 } { 3 }$$

Solve for x

$$x = \frac{10}{3} = 3\frac{1}{3} \approx 3.333333333$$

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 x.

$$1\times 3=\frac{3}{4}x\times \frac{1\times 5+1}{5}$$

Multiply 1 and 3 to get 3.

$$3=\frac{3}{4}x\times \frac{1\times 5+1}{5}$$

Multiply 1 and 5 to get 5.

$$3=\frac{3}{4}x\times \frac{5+1}{5}$$

Add 5 and 1 to get 6.

$$3=\frac{3}{4}x\times \frac{6}{5}$$

Multiply \frac{3}{4} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$3=\frac{3\times 6}{4\times 5}x$$

Do the multiplications in the fraction \frac{3\times 6}{4\times 5}.

$$3=\frac{18}{20}x$$

Reduce the fraction \frac{18}{20} to lowest terms by extracting and canceling out 2.

$$3=\frac{9}{10}x$$

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

$$\frac{9}{10}x=3$$

Multiply both sides by \frac{10}{9}, the reciprocal of \frac{9}{10}.

$$x=3\times \frac{10}{9}$$

Express 3\times \frac{10}{9} as a single fraction.

$$x=\frac{3\times 10}{9}$$

Multiply 3 and 10 to get 30.

$$x=\frac{30}{9}$$

Reduce the fraction \frac{30}{9} to lowest terms by extracting and canceling out 3.

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