Solve a/b=8/15

$$\frac { a } { b } = \frac { 8 } { 15 }$$

Solve for a

$$a=\frac{8b}{15}$$

$$b\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15b, the least common multiple of b,15.

$$15a=8b$$

Divide both sides by 15.

$$\frac{15a}{15}=\frac{8b}{15}$$

Dividing by 15 undoes the multiplication by 15.

$$a=\frac{8b}{15}$$

Solve for b

$$b=\frac{15a}{8}$$

$$a\neq 0$$

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 15b, the least common multiple of b,15.

$$15a=8b$$

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

$$8b=15a$$

Divide both sides by 8.

$$\frac{8b}{8}=\frac{15a}{8}$$

Dividing by 8 undoes the multiplication by 8.

$$b=\frac{15a}{8}$$

Variable b cannot be equal to 0.

$$b=\frac{15a}{8}\text{, }b\neq 0$$