Solve 3/m-1=2/3

$$\frac { 3 } { m } - 1 = \frac { 2 } { 3 }$$

Solve for m

$$m = \frac{9}{5} = 1\frac{4}{5} = 1.8$$

Steps for Solving Linear Equation

Variable m cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3m, the least common multiple of m,3.

$$3\times 3+3m\left(-1\right)=2m$$

Multiply 3 and 3 to get 9.

$$9+3m\left(-1\right)=2m$$

Multiply 3 and -1 to get -3.

$$9-3m=2m$$

Subtract 2m from both sides.

$$9-3m-2m=0$$

Combine -3m and -2m to get -5m.

$$9-5m=0$$

Subtract 9 from both sides. Anything subtracted from zero gives its negation.

$$-5m=-9$$

Divide both sides by -5.

$$m=\frac{-9}{-5}$$

Fraction \frac{-9}{-5} can be simplified to \frac{9}{5} by removing the negative sign from both the numerator and the denominator.

$$m=\frac{9}{5}$$