Solve 9-4r/8=3+1/3

$$\frac { 9 - 4 r } { 8 } = 3 + \frac { 1 } { 3 }$$

Solve for r

$$r = -\frac{53}{12} = -4\frac{5}{12} \approx -4.416666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 8,3.

$$3\left(9-4r\right)=72+8$$

Use the distributive property to multiply 3 by 9-4r.

$$27-12r=72+8$$

Add 72 and 8 to get 80.

$$27-12r=80$$

Subtract 27 from both sides.

$$-12r=80-27$$

Subtract 27 from 80 to get 53.

$$-12r=53$$

Divide both sides by -12.

$$r=\frac{53}{-12}$$

Fraction \frac{53}{-12} can be rewritten as -\frac{53}{12} by extracting the negative sign.

$$r=-\frac{53}{12}$$