Solve 3/4x-5/2=1/4

$$\frac { 3 } { 4 } x - \frac { 5 } { 2 } = \frac { 1 } { 4 }$$

Solve for x

$$x = \frac{11}{3} = 3\frac{2}{3} \approx 3.666666667$$

Steps for Solving Linear Equation

Add \frac{5}{2} to both sides.

$$\frac{3}{4}x=\frac{1}{4}+\frac{5}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{1}{4} and \frac{5}{2} to fractions with denominator 4.

$$\frac{3}{4}x=\frac{1}{4}+\frac{10}{4}$$

Since \frac{1}{4} and \frac{10}{4} have the same denominator, add them by adding their numerators.

$$\frac{3}{4}x=\frac{1+10}{4}$$

Add 1 and 10 to get 11.

$$\frac{3}{4}x=\frac{11}{4}$$

Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.

$$x=\frac{11}{4}\times \frac{4}{3}$$

Multiply \frac{11}{4} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{11\times 4}{4\times 3}$$

Cancel out 4 in both numerator and denominator.

$$x=\frac{11}{3}$$