Solve 4/9=m+2/6

$$\frac { 4 } { 9 } = \frac { m + 2 } { 6 }$$

Solve for m

$$m=\frac{2}{3}\approx 0.666666667$$

Steps for Solving Linear Equation

Multiply both sides by 6.

$$\frac{4}{9}\times 6=m+2$$

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

$$\frac{4\times 6}{9}=m+2$$

Multiply 4 and 6 to get 24.

$$\frac{24}{9}=m+2$$

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

$$\frac{8}{3}=m+2$$

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

$$m+2=\frac{8}{3}$$

Subtract 2 from both sides.

$$m=\frac{8}{3}-2$$

Convert 2 to fraction \frac{6}{3}.

$$m=\frac{8}{3}-\frac{6}{3}$$

Since \frac{8}{3} and \frac{6}{3} have the same denominator, subtract them by subtracting their numerators.

$$m=\frac{8-6}{3}$$

Subtract 6 from 8 to get 2.

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