Solve -62/3m=11/9

$$- 6 \frac { 2 } { 3 } m = 1 \frac { 1 } { 9 }$$

Solve for m

$$m=-\frac{1}{6}\approx -0.166666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 9, the least common multiple of 3,9.

$$9\left(-\frac{6\times 3+2}{3}\right)m=1\times 9+1$$

Multiply 6 and 3 to get 18.

$$9\left(-\frac{18+2}{3}\right)m=1\times 9+1$$

Add 18 and 2 to get 20.

$$9\left(-\frac{20}{3}\right)m=1\times 9+1$$

Express 9\left(-\frac{20}{3}\right) as a single fraction.

$$\frac{9\left(-20\right)}{3}m=1\times 9+1$$

Multiply 9 and -20 to get -180.

$$\frac{-180}{3}m=1\times 9+1$$

Divide -180 by 3 to get -60.

$$-60m=1\times 9+1$$

Multiply 1 and 9 to get 9.

$$-60m=9+1$$

Add 9 and 1 to get 10.

$$-60m=10$$

Divide both sides by -60.

$$m=\frac{10}{-60}$$

Reduce the fraction \frac{10}{-60} to lowest terms by extracting and canceling out 10.

$$m=-\frac{1}{6}$$