Solve 9/8m-1/6m=-4-11/3

$$\frac { 9 } { 8 } m - \frac { 1 } { 6 } m = - 4 - \frac { 11 } { 3 }$$

Solve for m

$$m=-8$$

Steps for Solving Linear Equation

Combine \frac{9}{8}m and -\frac{1}{6}m to get \frac{23}{24}m.

$$\frac{23}{24}m=-4-\frac{11}{3}$$

Convert -4 to fraction -\frac{12}{3}.

$$\frac{23}{24}m=-\frac{12}{3}-\frac{11}{3}$$

Since -\frac{12}{3} and \frac{11}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{23}{24}m=\frac{-12-11}{3}$$

Subtract 11 from -12 to get -23.

$$\frac{23}{24}m=-\frac{23}{3}$$

Multiply both sides by \frac{24}{23}, the reciprocal of \frac{23}{24}.

$$m=-\frac{23}{3}\times \frac{24}{23}$$

Multiply -\frac{23}{3} times \frac{24}{23} by multiplying numerator times numerator and denominator times denominator.

$$m=\frac{-23\times 24}{3\times 23}$$

Do the multiplications in the fraction \frac{-23\times 24}{3\times 23}.

$$m=\frac{-552}{69}$$

Divide -552 by 69 to get -8.

$$m=-8$$