Solve 3/4=4m-5/6

$$\frac { 3 } { 4 } = \frac { 4 m - 5 } { 6 }$$

Solve for m

$$m = \frac{19}{8} = 2\frac{3}{8} = 2.375$$

Steps for Solving Linear Equation

Multiply both sides by 6.

$$\frac{3}{4}\times 6=4m-5$$

Express \frac{3}{4}\times 6 as a single fraction.

$$\frac{3\times 6}{4}=4m-5$$

Multiply 3 and 6 to get 18.

$$\frac{18}{4}=4m-5$$

Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.

$$\frac{9}{2}=4m-5$$

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

$$4m-5=\frac{9}{2}$$

Add 5 to both sides.

$$4m=\frac{9}{2}+5$$

Convert 5 to fraction \frac{10}{2}.

$$4m=\frac{9}{2}+\frac{10}{2}$$

Since \frac{9}{2} and \frac{10}{2} have the same denominator, add them by adding their numerators.

$$4m=\frac{9+10}{2}$$

Add 9 and 10 to get 19.

$$4m=\frac{19}{2}$$

Divide both sides by 4.

$$m=\frac{\frac{19}{2}}{4}$$

Express \frac{\frac{19}{2}}{4} as a single fraction.

$$m=\frac{19}{2\times 4}$$

Multiply 2 and 4 to get 8.

$$m=\frac{19}{8}$$