Solve -21/4+(-31/4)

$$- 2 \frac { 1 } { 4 } + ( - 3 \frac { 1 } { 4 } )$$

Evaluate

$$-\frac{11}{2}=-5.5$$

Solution Steps

Multiply 2 and 4 to get 8.

$$-\frac{8+1}{4}-\frac{3\times 4+1}{4}$$

Add 8 and 1 to get 9.

$$-\frac{9}{4}-\frac{3\times 4+1}{4}$$

Multiply 3 and 4 to get 12.

$$-\frac{9}{4}-\frac{12+1}{4}$$

Add 12 and 1 to get 13.

$$-\frac{9}{4}-\frac{13}{4}$$

Since -\frac{9}{4} and \frac{13}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-9-13}{4}$$

Subtract 13 from -9 to get -22.

$$\frac{-22}{4}$$

Reduce the fraction \frac{-22}{4} to lowest terms by extracting and canceling out 2.

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

Factor

$$-\frac{11}{2} = -5\frac{1}{2} = -5.5$$