Solve 3(m-1/9)=3/5

$$3 ( m - \frac { 1 } { 9 } ) = \frac { 3 } { 5 }$$

Solve for m

$$m=\frac{14}{45}\approx 0.311111111$$

Steps for Solving Linear Equation

Divide both sides by 3.

$$m-\frac{1}{9}=\frac{\frac{3}{5}}{3}$$

Express \frac{\frac{3}{5}}{3} as a single fraction.

$$m-\frac{1}{9}=\frac{3}{5\times 3}$$

Cancel out 3 in both numerator and denominator.

$$m-\frac{1}{9}=\frac{1}{5}$$

Add \frac{1}{9} to both sides.

$$m=\frac{1}{5}+\frac{1}{9}$$

Least common multiple of 5 and 9 is 45. Convert \frac{1}{5} and \frac{1}{9} to fractions with denominator 45.

$$m=\frac{9}{45}+\frac{5}{45}$$

Since \frac{9}{45} and \frac{5}{45} have the same denominator, add them by adding their numerators.

$$m=\frac{9+5}{45}$$

Add 9 and 5 to get 14.

$$m=\frac{14}{45}$$