Solve x+2/8+7/12

$$x + \frac { 2 } { 8 } + \frac { 7 } { 12 }$$

Evaluate

$$x = \frac{5}{6} = 0.8333333333333334$$

Solution Steps

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

$$x+\frac{1}{4}+\frac{7}{12}$$

Least common multiple of 4 and 12 is 12. Convert \frac{1}{4} and \frac{7}{12} to fractions with denominator 12.

$$x+\frac{3}{12}+\frac{7}{12}$$

Since \frac{3}{12} and \frac{7}{12} have the same denominator, add them by adding their numerators.

$$x+\frac{3+7}{12}$$

Add 3 and 7 to get 10.

$$x+\frac{10}{12}$$

Reduce the fraction \frac{10}{12} to lowest terms by extracting and canceling out 2.

$$x+\frac{5}{6}$$

Factor

$$\frac{6x+5}{6}$$

Solution Steps

Factor out \frac{1}{12}.

$$\frac{12x+10}{12}$$

Consider 12x+3+7. Multiply and combine like terms.

$$12x+10$$

Consider 12x+10. Factor out 2.

$$2\left(6x+5\right)$$

Rewrite the complete factored expression.

$$\frac{6x+5}{6}$$