Solve a/b=4/5

$$\frac { a } { b } = \frac { 4 } { 5 }$$

Solve for a

$$a=\frac{4b}{5}$$

$$b\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5b, the least common multiple of b,5.

$$5a=4b$$

Divide both sides by 5.

$$\frac{5a}{5}=\frac{4b}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$a=\frac{4b}{5}$$

Solve for b

$$b=\frac{5a}{4}$$

$$a\neq 0$$

Steps for Solving Linear Equation

Variable b cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5b, the least common multiple of b,5.

$$5a=4b$$

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

$$4b=5a$$

Divide both sides by 4.

$$\frac{4b}{4}=\frac{5a}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$b=\frac{5a}{4}$$

Variable b cannot be equal to 0.

$$b=\frac{5a}{4}\text{, }b\neq 0$$