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

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

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Least common multiple of 4 and 2 is 4. Convert \frac{3}{4} and \frac{1}{2} to fractions with denominator 4.

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

Since \frac{3}{4} and \frac{2}{4} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 2 from 3 to get 1.

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

Since \frac{3}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from 3 to get 2.

$$\frac{2}{4}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$