Solve 1/2+1/4+1/6+x

$$\frac { 1 } { 2 } + \frac { 1 } { 4 } + \frac { 1 } { 6 } + x$$

Evaluate

$$x = \frac{11}{12} = 0.9166666666666666$$

Solution Steps

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

$$\frac{2}{4}+\frac{1}{4}+\frac{1}{6}+x$$

Since \frac{2}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{2+1}{4}+\frac{1}{6}+x$$

Add 2 and 1 to get 3.

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

Least common multiple of 4 and 6 is 12. Convert \frac{3}{4} and \frac{1}{6} to fractions with denominator 12.

$$\frac{9}{12}+\frac{2}{12}+x$$

Since \frac{9}{12} and \frac{2}{12} have the same denominator, add them by adding their numerators.

$$\frac{9+2}{12}+x$$

Add 9 and 2 to get 11.

$$\frac{11}{12}+x$$

Factor

$$\frac{12x+11}{12}$$

Solution Steps

Factor out \frac{1}{12}.

$$\frac{11+12x}{12}$$

Consider 6+3+2+12x. Multiply and combine like terms.

$$12x+11$$

Rewrite the complete factored expression.

$$\frac{12x+11}{12}$$