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

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

Evaluate

$$0$$

Solution Steps

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

$$\frac{5}{12}-\left(\frac{9}{12}-\frac{4}{12}\right)$$

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

$$\frac{5}{12}-\frac{9-4}{12}$$

Subtract 4 from 9 to get 5.

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

Subtract \frac{5}{12} from \frac{5}{12} to get 0.

$$0$$

Factor

$$0$$