Solve 1/3x+3/4x=13/48

$$\frac { 1 } { 3 } x + \frac { 3 } { 4 } x = \frac { 13 } { 48 }$$

Solve for x

$$x=\frac{1}{4}=0.25$$

Steps for Solving Linear Equation

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

$$\frac{13}{12}x=\frac{13}{48}$$

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

$$x=\frac{13}{48}\times \frac{12}{13}$$

Multiply \frac{13}{48} times \frac{12}{13} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{13\times 12}{48\times 13}$$

Cancel out 13 in both numerator and denominator.

$$x=\frac{12}{48}$$

Reduce the fraction \frac{12}{48} to lowest terms by extracting and canceling out 12.

$$x=\frac{1}{4}$$