Solve (5/2)*(-3/2-1/4)

$$( \frac { 5 } { 2 } ) \cdot ( - \frac { 3 } { 2 } - \frac { 1 } { 4 } )$$

Evaluate

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

Solution Steps

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

$$\frac{5}{2}\left(-\frac{6}{4}-\frac{1}{4}\right)$$

Since -\frac{6}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5}{2}\times \frac{-6-1}{4}$$

Subtract 1 from -6 to get -7.

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

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

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

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

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

Fraction \frac{-35}{8} can be rewritten as -\frac{35}{8} by extracting the negative sign.

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

Factor

$$-\frac{35}{8} = -4\frac{3}{8} = -4.375$$