Solve {l}{11/2*-78,87-}{-220}

$$\left. \begin{array} { l } { \frac { 11 } { 2 } \times - 78,87 - } \\ { - 220 } \end{array} \right.$$

Evaluate

$$-213,785$$

Solution Steps

Convert decimal number -78,87 to fraction -\frac{7887}{100}.

$$\frac{11}{2}\left(-\frac{7887}{100}\right)-\left(-220\right)$$

Multiply \frac{11}{2} times -\frac{7887}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\left(-7887\right)}{2\times 100}-\left(-220\right)$$

Do the multiplications in the fraction \frac{11\left(-7887\right)}{2\times 100}.

$$\frac{-86757}{200}-\left(-220\right)$$

Fraction \frac{-86757}{200} can be rewritten as -\frac{86757}{200} by extracting the negative sign.

$$-\frac{86757}{200}-\left(-220\right)$$

The opposite of -220 is 220.

$$-\frac{86757}{200}+220$$

Convert 220 to fraction \frac{44000}{200}.

$$-\frac{86757}{200}+\frac{44000}{200}$$

Since -\frac{86757}{200} and \frac{44000}{200} have the same denominator, add them by adding their numerators.

$$\frac{-86757+44000}{200}$$

Add -86757 and 44000 to get -42757.

$$-\frac{42757}{200}$$

Factor

$$-213,785$$