Solve 4/9=r-3/6

$$\frac { 4 } { 9 } = \frac { r - 3 } { 6 }$$

Solve for r

$$r = \frac{17}{3} = 5\frac{2}{3} \approx 5.666666667$$

Steps for Solving Linear Equation

Multiply both sides by 6.

$$\frac{4}{9}\times 6=r-3$$

Express \frac{4}{9}\times 6 as a single fraction.

$$\frac{4\times 6}{9}=r-3$$

Multiply 4 and 6 to get 24.

$$\frac{24}{9}=r-3$$

Reduce the fraction \frac{24}{9} to lowest terms by extracting and canceling out 3.

$$\frac{8}{3}=r-3$$

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

$$r-3=\frac{8}{3}$$

Add 3 to both sides.

$$r=\frac{8}{3}+3$$

Convert 3 to fraction \frac{9}{3}.

$$r=\frac{8}{3}+\frac{9}{3}$$

Since \frac{8}{3} and \frac{9}{3} have the same denominator, add them by adding their numerators.

$$r=\frac{8+9}{3}$$

Add 8 and 9 to get 17.

$$r=\frac{17}{3}$$