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

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

Evaluate

$$\frac{35}{8}=4.375$$

Solution Steps

Convert 2 to fraction \frac{4}{2}.

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

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

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

Subtract 4 from -3 to get -7.

$$-\frac{7}{2}\left(-\frac{3}{4}-\frac{1}{2}\right)$$

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

$$-\frac{7}{2}\left(-\frac{3}{4}-\frac{2}{4}\right)$$

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

$$-\frac{7}{2}\times \frac{-3-2}{4}$$

Subtract 2 from -3 to get -5.

$$-\frac{7}{2}\left(-\frac{5}{4}\right)$$

Multiply -\frac{7}{2} times -\frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-7\left(-5\right)}{2\times 4}$$

Do the multiplications in the fraction \frac{-7\left(-5\right)}{2\times 4}.

$$\frac{35}{8}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {3}} = 4\frac{3}{8} = 4.375$$