Solve 1/6x+3/4x=3.3

$$\frac { 1 } { 6 } x + \frac { 3 } { 4 } x = 3.3$$

Solve for x

$$x=3.6$$

Steps for Solving Linear Equation

Combine \frac{1}{6}x and \frac{3}{4}x to get \frac{11}{12}x.

$$\frac{11}{12}x=3.3$$

Multiply both sides by \frac{12}{11}, the reciprocal of \frac{11}{12}.

$$x=3.3\times \frac{12}{11}$$

Convert decimal number 3.3 to fraction \frac{33}{10}.

$$x=\frac{33}{10}\times \frac{12}{11}$$

Multiply \frac{33}{10} times \frac{12}{11} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{33\times 12}{10\times 11}$$

Do the multiplications in the fraction \frac{33\times 12}{10\times 11}.

$$x=\frac{396}{110}$$

Reduce the fraction \frac{396}{110} to lowest terms by extracting and canceling out 22.

$$x=\frac{18}{5}$$