Solve (2-1/4-1/3)-(1+5/12)

$$( 2 - \frac { 1 } { 4 } - \frac { 1 } { 3 } ) - ( 1 + \frac { 5 } { 12 } )$$

Evaluate

$$0$$

Solution Steps

Convert 2 to fraction \frac{8}{4}.

$$\frac{8}{4}-\frac{1}{4}-\frac{1}{3}-\left(1+\frac{5}{12}\right)$$

Since \frac{8}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-1}{4}-\frac{1}{3}-\left(1+\frac{5}{12}\right)$$

Subtract 1 from 8 to get 7.

$$\frac{7}{4}-\frac{1}{3}-\left(1+\frac{5}{12}\right)$$

Least common multiple of 4 and 3 is 12. Convert \frac{7}{4} and \frac{1}{3} to fractions with denominator 12.

$$\frac{21}{12}-\frac{4}{12}-\left(1+\frac{5}{12}\right)$$

Since \frac{21}{12} and \frac{4}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-4}{12}-\left(1+\frac{5}{12}\right)$$

Subtract 4 from 21 to get 17.

$$\frac{17}{12}-\left(1+\frac{5}{12}\right)$$

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

$$\frac{17}{12}-\left(\frac{12}{12}+\frac{5}{12}\right)$$

Since \frac{12}{12} and \frac{5}{12} have the same denominator, add them by adding their numerators.

$$\frac{17}{12}-\frac{12+5}{12}$$

Add 12 and 5 to get 17.

$$\frac{17}{12}-\frac{17}{12}$$

Subtract \frac{17}{12} from \frac{17}{12} to get 0.

$$0$$

Factor

$$0$$