Solve -3/2*15-5

$$- \frac{ 3 }{ 2 } \times 15-5$$

Evaluate

$$-\frac{55}{2}=-27.5$$

Solution Steps

Express -\frac{3}{2}\times 15 as a single fraction.

$$\frac{-3\times 15}{2}-5$$

Multiply -3 and 15 to get -45.

$$\frac{-45}{2}-5$$

Fraction \frac{-45}{2} can be rewritten as -\frac{45}{2} by extracting the negative sign.

$$-\frac{45}{2}-5$$

Convert 5 to fraction \frac{10}{2}.

$$-\frac{45}{2}-\frac{10}{2}$$

Since -\frac{45}{2} and \frac{10}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-45-10}{2}$$

Subtract 10 from -45 to get -55.

$$-\frac{55}{2}$$

Factor

$$-\frac{55}{2} = -27\frac{1}{2} = -27.5$$