Solve (-11-3)-2(22-1)/-20-4(2--3)

$$\frac { ( - 11 - 3 ) - 2 ( 22 - 1 ) } { - 20 } - 4 ( 2 - - 3 )$$

Evaluate

$$-\frac{86}{5}=-17.2$$

Solution Steps

Subtract 3 from -11 to get -14.

$$\frac{-14-2\left(22-1\right)}{-20}-4\left(2-\left(-3\right)\right)$$

Subtract 1 from 22 to get 21.

$$\frac{-14-2\times 21}{-20}-4\left(2-\left(-3\right)\right)$$

Multiply 2 and 21 to get 42.

$$\frac{-14-42}{-20}-4\left(2-\left(-3\right)\right)$$

Subtract 42 from -14 to get -56.

$$\frac{-56}{-20}-4\left(2-\left(-3\right)\right)$$

Reduce the fraction \frac{-56}{-20} to lowest terms by extracting and canceling out -4.

$$\frac{14}{5}-4\left(2-\left(-3\right)\right)$$

The opposite of -3 is 3.

$$\frac{14}{5}-4\left(2+3\right)$$

Add 2 and 3 to get 5.

$$\frac{14}{5}-4\times 5$$

Multiply 4 and 5 to get 20.

$$\frac{14}{5}-20$$

Convert 20 to fraction \frac{100}{5}.

$$\frac{14}{5}-\frac{100}{5}$$

Since \frac{14}{5} and \frac{100}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14-100}{5}$$

Subtract 100 from 14 to get -86.

$$-\frac{86}{5}$$

Factor

$$-\frac{86}{5} = -17\frac{1}{5} = -17.2$$