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

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

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Solution Steps

Convert 1 to fraction \frac{3}{3}.

$$\frac{3}{4}-\left(\frac{3}{3}-\frac{2}{3}\right)-\frac{1}{12}$$

Since \frac{3}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3}{4}-\frac{3-2}{3}-\frac{1}{12}$$

Subtract 2 from 3 to get 1.

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

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

$$\frac{9}{12}-\frac{4}{12}-\frac{1}{12}$$

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

$$\frac{9-4}{12}-\frac{1}{12}$$

Subtract 4 from 9 to get 5.

$$\frac{5}{12}-\frac{1}{12}$$

Since \frac{5}{12} and \frac{1}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-1}{12}$$

Subtract 1 from 5 to get 4.

$$\frac{4}{12}$$

Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$