Solve 5-3(-7/2-1)

$$5-3(- \frac{ 7 }{ 2 } -1)$$

Evaluate

$$\frac{37}{2}=18.5$$

Solution Steps

Convert 1 to fraction \frac{2}{2}.

$$5-3\left(-\frac{7}{2}-\frac{2}{2}\right)$$

Since -\frac{7}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.

$$5-3\times \frac{-7-2}{2}$$

Subtract 2 from -7 to get -9.

$$5-3\left(-\frac{9}{2}\right)$$

Express 3\left(-\frac{9}{2}\right) as a single fraction.

$$5-\frac{3\left(-9\right)}{2}$$

Multiply 3 and -9 to get -27.

$$5-\frac{-27}{2}$$

Fraction \frac{-27}{2} can be rewritten as -\frac{27}{2} by extracting the negative sign.

$$5-\left(-\frac{27}{2}\right)$$

The opposite of -\frac{27}{2} is \frac{27}{2}.

$$5+\frac{27}{2}$$

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

$$\frac{10}{2}+\frac{27}{2}$$

Since \frac{10}{2} and \frac{27}{2} have the same denominator, add them by adding their numerators.

$$\frac{10+27}{2}$$

Add 10 and 27 to get 37.

$$\frac{37}{2}$$

Factor

$$\frac{37}{2} = 18\frac{1}{2} = 18.5$$