Solve 5/6x-1/4=0.75

$$\frac { 5 } { 6 } x - \frac { 1 } { 4 } = 0.75$$

Solve for x

$$x=1.2$$

Steps for Solving Linear Equation

Add \frac{1}{4} to both sides.

$$\frac{5}{6}x=0.75+\frac{1}{4}$$

Convert decimal number 0.75 to fraction \frac{75}{100}. Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.

$$\frac{5}{6}x=\frac{3}{4}+\frac{1}{4}$$

Since \frac{3}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{5}{6}x=\frac{3+1}{4}$$

Add 3 and 1 to get 4.

$$\frac{5}{6}x=\frac{4}{4}$$

Divide 4 by 4 to get 1.

$$\frac{5}{6}x=1$$

Multiply both sides by \frac{6}{5}, the reciprocal of \frac{5}{6}.

$$x=1\times \frac{6}{5}$$

Multiply 1 and \frac{6}{5} to get \frac{6}{5}.

$$x=\frac{6}{5}$$