Solve -4(-31/11)-14

$$-4(- 3 \frac { 1 } { 11 } )-14$$

Evaluate

$$-\frac{18}{11}\approx -1.636363636$$

Solution Steps

Multiply 3 and 11 to get 33.

$$-4\left(-\frac{33+1}{11}\right)-14$$

Add 33 and 1 to get 34.

$$-4\left(-\frac{34}{11}\right)-14$$

Express -4\left(-\frac{34}{11}\right) as a single fraction.

$$\frac{-4\left(-34\right)}{11}-14$$

Multiply -4 and -34 to get 136.

$$\frac{136}{11}-14$$

Convert 14 to fraction \frac{154}{11}.

$$\frac{136}{11}-\frac{154}{11}$$

Since \frac{136}{11} and \frac{154}{11} have the same denominator, subtract them by subtracting their numerators.

$$\frac{136-154}{11}$$

Subtract 154 from 136 to get -18.

$$-\frac{18}{11}$$

Factor

$$-\frac{18}{11} = -1\frac{7}{11} = -1.6363636363636365$$