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

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

Evaluate

$$\frac{5}{8}=0.625$$

Solution Steps

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

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

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

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

Subtract 3 from 2 to get -1.

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

Multiply \frac{1}{2} times -\frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\left(-1\right)}{2\times 4}.

$$\frac{1}{2}-\frac{-1}{8}$$

Fraction \frac{-1}{8} can be rewritten as -\frac{1}{8} by extracting the negative sign.

$$\frac{1}{2}-\left(-\frac{1}{8}\right)$$

The opposite of -\frac{1}{8} is \frac{1}{8}.

$$\frac{1}{2}+\frac{1}{8}$$

Least common multiple of 2 and 8 is 8. Convert \frac{1}{2} and \frac{1}{8} to fractions with denominator 8.

$$\frac{4}{8}+\frac{1}{8}$$

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

$$\frac{4+1}{8}$$

Add 4 and 1 to get 5.

$$\frac{5}{8}$$

Factor

$$\frac{5}{2 ^ {3}} = 0.625$$