Solve 15-(5*(-5/2)+8)=

$$15 - ( 5 \cdot ( - \frac { 5 } { 2 } ) + 8 ) =$$

Evaluate

$$\frac{39}{2}=19.5$$

Solution Steps

Express 5\left(-\frac{5}{2}\right) as a single fraction.

$$15-\left(\frac{5\left(-5\right)}{2}+8\right)$$

Multiply 5 and -5 to get -25.

$$15-\left(\frac{-25}{2}+8\right)$$

Fraction \frac{-25}{2} can be rewritten as -\frac{25}{2} by extracting the negative sign.

$$15-\left(-\frac{25}{2}+8\right)$$

Convert 8 to fraction \frac{16}{2}.

$$15-\left(-\frac{25}{2}+\frac{16}{2}\right)$$

Since -\frac{25}{2} and \frac{16}{2} have the same denominator, add them by adding their numerators.

$$15-\frac{-25+16}{2}$$

Add -25 and 16 to get -9.

$$15-\left(-\frac{9}{2}\right)$$

The opposite of -\frac{9}{2} is \frac{9}{2}.

$$15+\frac{9}{2}$$

Convert 15 to fraction \frac{30}{2}.

$$\frac{30}{2}+\frac{9}{2}$$

Since \frac{30}{2} and \frac{9}{2} have the same denominator, add them by adding their numerators.

$$\frac{30+9}{2}$$

Add 30 and 9 to get 39.

$$\frac{39}{2}$$

Factor

$$\frac{3 \cdot 13}{2} = 19\frac{1}{2} = 19.5$$