Solve x+3/4-1/3

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

Evaluate

$$x = \frac{5}{12} = 0.4166666666666667$$

Solution Steps

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

$$x+\frac{9}{12}-\frac{4}{12}$$

Since \frac{9}{12} and \frac{4}{12} have the same denominator, subtract them by subtracting their numerators.

$$x+\frac{9-4}{12}$$

Subtract 4 from 9 to get 5.

$$x+\frac{5}{12}$$

Factor

$$\frac{12x+5}{12}$$

Solution Steps

Factor out \frac{1}{12}.

$$\frac{12x+5}{12}$$

Consider 12x+9-4. Multiply and combine like terms.

$$12x+5$$

Rewrite the complete factored expression.

$$\frac{12x+5}{12}$$