Solve 61/2*(-1)left(21/2--1right)

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

Evaluate

$$-\frac{91}{4}=-22.75$$

Solution Steps

Multiply 6 and 2 to get 12.

$$\frac{12+1}{2}\left(-1\right)\left(\frac{2\times 2+1}{2}-\left(-1\right)\right)$$

Add 12 and 1 to get 13.

$$\frac{13}{2}\left(-1\right)\left(\frac{2\times 2+1}{2}-\left(-1\right)\right)$$

Multiply \frac{13}{2} and -1 to get -\frac{13}{2}.

$$-\frac{13}{2}\left(\frac{2\times 2+1}{2}-\left(-1\right)\right)$$

Multiply 2 and 2 to get 4.

$$-\frac{13}{2}\left(\frac{4+1}{2}-\left(-1\right)\right)$$

Add 4 and 1 to get 5.

$$-\frac{13}{2}\left(\frac{5}{2}-\left(-1\right)\right)$$

The opposite of -1 is 1.

$$-\frac{13}{2}\left(\frac{5}{2}+1\right)$$

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

$$-\frac{13}{2}\left(\frac{5}{2}+\frac{2}{2}\right)$$

Since \frac{5}{2} and \frac{2}{2} have the same denominator, add them by adding their numerators.

$$-\frac{13}{2}\times \frac{5+2}{2}$$

Add 5 and 2 to get 7.

$$-\frac{13}{2}\times \frac{7}{2}$$

Multiply -\frac{13}{2} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-13\times 7}{2\times 2}$$

Do the multiplications in the fraction \frac{-13\times 7}{2\times 2}.

$$\frac{-91}{4}$$

Fraction \frac{-91}{4} can be rewritten as -\frac{91}{4} by extracting the negative sign.

$$-\frac{91}{4}$$

Factor

$$-\frac{91}{4} = -22\frac{3}{4} = -22.75$$