Solve -41/2+(-2)1/2+(-4)1/4

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

Evaluate

$$-\frac{13}{2}=-6.5$$

Solution Steps

Multiply 4 and 2 to get 8.

$$-\frac{8+1}{2}-2\times \frac{1}{2}-4\times \frac{1}{4}$$

Add 8 and 1 to get 9.

$$-\frac{9}{2}-2\times \frac{1}{2}-4\times \frac{1}{4}$$

Multiply -2 times \frac{1}{2}.

$$-\frac{9}{2}-1-4\times \frac{1}{4}$$

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

$$-\frac{9}{2}-\frac{2}{2}-4\times \frac{1}{4}$$

Since -\frac{9}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-9-2}{2}-4\times \frac{1}{4}$$

Subtract 2 from -9 to get -11.

$$-\frac{11}{2}-4\times \frac{1}{4}$$

Multiply -4 times \frac{1}{4}.

$$-\frac{11}{2}-1$$

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

$$-\frac{11}{2}-\frac{2}{2}$$

Since -\frac{11}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-11-2}{2}$$

Subtract 2 from -11 to get -13.

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

Factor

$$-\frac{13}{2} = -6\frac{1}{2} = -6.5$$