Solve 1/v-1/10=1/15

$$\frac { 1 } { v } \frac { - 1 } { 10 } = \frac { 1 } { 15 }$$

Solve for v

$$v = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

Steps for Solving Linear Equation

Variable v cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 30v, the least common multiple of v,10,15.

$$30\times 1\times \frac{-1}{10}=2v$$

Multiply 30 and 1 to get 30.

$$30\times \frac{-1}{10}=2v$$

Fraction \frac{-1}{10} can be rewritten as -\frac{1}{10} by extracting the negative sign.

$$30\left(-\frac{1}{10}\right)=2v$$

Express 30\left(-\frac{1}{10}\right) as a single fraction.

$$\frac{30\left(-1\right)}{10}=2v$$

Multiply 30 and -1 to get -30.

$$\frac{-30}{10}=2v$$

Divide -30 by 10 to get -3.

$$-3=2v$$

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

$$2v=-3$$

Divide both sides by 2.

$$v=\frac{-3}{2}$$

Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.

$$v=-\frac{3}{2}$$