Solve 3/2*(3/4-4/8)

$$3 / 2 \times ( \frac { 3 } { 4 } - \frac { 4 } { 8 } )$$

Evaluate

$$\frac{3}{8}=0.375$$

Solution Steps

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

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

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

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

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

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

Subtract 2 from 3 to get 1.

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

Multiply \frac{3}{2} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{3\times 1}{2\times 4}.

$$\frac{3}{8}$$

Factor

$$\frac{3}{2 ^ {3}} = 0.375$$