Solve 2m+3/4=11/12

$$\frac { 2 m + 3 } { 4 } = \frac { 11 } { 12 }$$

Solve for m

$$m=\frac{1}{3}\approx 0.333333333$$

Steps for Solving Linear Equation

Multiply both sides by 4.

$$2m+3=\frac{11}{12}\times 4$$

Express \frac{11}{12}\times 4 as a single fraction.

$$2m+3=\frac{11\times 4}{12}$$

Multiply 11 and 4 to get 44.

$$2m+3=\frac{44}{12}$$

Reduce the fraction \frac{44}{12} to lowest terms by extracting and canceling out 4.

$$2m+3=\frac{11}{3}$$

Subtract 3 from both sides.

$$2m=\frac{11}{3}-3$$

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

$$2m=\frac{11}{3}-\frac{9}{3}$$

Since \frac{11}{3} and \frac{9}{3} have the same denominator, subtract them by subtracting their numerators.

$$2m=\frac{11-9}{3}$$

Subtract 9 from 11 to get 2.

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

Divide both sides by 2.

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

Express \frac{\frac{2}{3}}{2} as a single fraction.

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

Cancel out 2 in both numerator and denominator.

$$m=\frac{1}{3}$$