Solve (1/3+1/4)-1

$$( \frac{ 1 }{ 3 } + \frac{ 1 }{ 4 } )-1$$

Evaluate

$$-\frac{5}{12}\approx -0.416666667$$

Solution Steps

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

$$\frac{4}{12}+\frac{3}{12}-1$$

Since \frac{4}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.

$$\frac{4+3}{12}-1$$

Add 4 and 3 to get 7.

$$\frac{7}{12}-1$$

Convert 1 to fraction \frac{12}{12}.

$$\frac{7}{12}-\frac{12}{12}$$

Since \frac{7}{12} and \frac{12}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-12}{12}$$

Subtract 12 from 7 to get -5.

$$-\frac{5}{12}$$

Factor

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