Solve 11/5*[(-11/4)+(-33/4)]=

$$1 \frac { 1 } { 5 } \times [ ( - 1 \frac { 1 } { 4 } ) + ( - 3 \frac { 3 } { 4 } ) ] =$$

Evaluate

$$-6$$

Solution Steps

Multiply 1 and 5 to get 5.

$$\frac{5+1}{5}\left(-\frac{1\times 4+1}{4}-\frac{3\times 4+3}{4}\right)$$

Add 5 and 1 to get 6.

$$\frac{6}{5}\left(-\frac{1\times 4+1}{4}-\frac{3\times 4+3}{4}\right)$$

Multiply 1 and 4 to get 4.

$$\frac{6}{5}\left(-\frac{4+1}{4}-\frac{3\times 4+3}{4}\right)$$

Add 4 and 1 to get 5.

$$\frac{6}{5}\left(-\frac{5}{4}-\frac{3\times 4+3}{4}\right)$$

Multiply 3 and 4 to get 12.

$$\frac{6}{5}\left(-\frac{5}{4}-\frac{12+3}{4}\right)$$

Add 12 and 3 to get 15.

$$\frac{6}{5}\left(-\frac{5}{4}-\frac{15}{4}\right)$$

Since -\frac{5}{4} and \frac{15}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6}{5}\times \frac{-5-15}{4}$$

Subtract 15 from -5 to get -20.

$$\frac{6}{5}\times \frac{-20}{4}$$

Divide -20 by 4 to get -5.

$$\frac{6}{5}\left(-5\right)$$

Express \frac{6}{5}\left(-5\right) as a single fraction.

$$\frac{6\left(-5\right)}{5}$$

Multiply 6 and -5 to get -30.

$$\frac{-30}{5}$$

Divide -30 by 5 to get -6.

$$-6$$

Factor

$$-6$$