Solve -5/2*-9/4-1/2*2

$$- \frac { 5 } { 2 } \times \frac { - 9 } { 4 } - \frac { 1 } { 2 } \times 2$$

Evaluate

$$\frac{37}{8}=4.625$$

Solution Steps

Fraction \frac{-9}{4} can be rewritten as -\frac{9}{4} by extracting the negative sign.

$$-\frac{5}{2}\left(-\frac{9}{4}\right)-\frac{1}{2}\times 2$$

Multiply -\frac{5}{2} times -\frac{9}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\left(-9\right)}{2\times 4}-\frac{1}{2}\times 2$$

Do the multiplications in the fraction \frac{-5\left(-9\right)}{2\times 4}.

$$\frac{45}{8}-\frac{1}{2}\times 2$$

Cancel out 2 and 2.

$$\frac{45}{8}-1$$

Convert 1 to fraction \frac{8}{8}.

$$\frac{45}{8}-\frac{8}{8}$$

Since \frac{45}{8} and \frac{8}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{45-8}{8}$$

Subtract 8 from 45 to get 37.

$$\frac{37}{8}$$

Factor

$$\frac{37}{2 ^ {3}} = 4\frac{5}{8} = 4.625$$