Solve 3/4x+1/3x=1/2

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

Solve for x

$$x=\frac{6}{13}\approx 0.461538462$$

Steps for Solving Linear Equation

Combine \frac{3}{4}x and \frac{1}{3}x to get \frac{13}{12}x.

$$\frac{13}{12}x=\frac{1}{2}$$

Multiply both sides by \frac{12}{13}, the reciprocal of \frac{13}{12}.

$$x=\frac{1}{2}\times \frac{12}{13}$$

Multiply \frac{1}{2} times \frac{12}{13} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1\times 12}{2\times 13}$$

Do the multiplications in the fraction \frac{1\times 12}{2\times 13}.

$$x=\frac{12}{26}$$

Reduce the fraction \frac{12}{26} to lowest terms by extracting and canceling out 2.

$$x=\frac{6}{13}$$